On convergence and growth of partial sums of Fourier series
From MaRDI portal
Publication:2523393
DOI10.1007/BF02392815zbMath0144.06402WikidataQ56340141 ScholiaQ56340141MaRDI QIDQ2523393
Publication date: 1966
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items
Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis ⋮ Harmonic Analysis of Some Arithmetical Functions ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5571399 Wachstumsverhalten zuf�lliger Potenzreihen] ⋮ Sur la convergence des séries de Fourier ⋮ On almost everywhere convergence of Walsh-Fourier series ⋮ $L^p$ solutions for stochastic evolution equation with nonlinear potential ⋮ On the divergence of multiple Fourier series ⋮ Properties and applications of a conjugate transform on Schatten classes ⋮ On the convergence of multiple Fourier series ⋮ Desarrollo en serie de Fourier de las funciones aleatorias periodicas ⋮ Rates of approximation by ReLU shallow neural networks ⋮ Inversion of the windowed linear canonical transform with Riemann sums ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Lp$L^p$ bound for the Hilbert transform along variable non‐flat curves ⋮ On the boundedness of a family of oscillatory singular integrals ⋮ Eine Frage über die Trigonometrischen Summen ⋮ PROPERTIES OF THE DIRICHLET KERNEL JOSEFINA ALVAREZ AND MARTHA GUZMÁN-PARTIDA ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ On uniqueness properties of Rademacher chaos series ⋮ The boundedness of the bilinear oscillatory integral along a parabola ⋮ Continuum limits of coupled oscillator networks depending on multiple sparse graphs ⋮ Variational Carleson operators in UMD spaces ⋮ A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮ Maximal polynomial modulations of singular Radon transforms ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ On a Stokes system arising in a free surface viscous flow of a horizontally periodic fluid with fractional boundary operators ⋮ On the uniform convergence of spherical partial sums of Fourier series by the double Walsh system ⋮ Pointwise convergence of the non-linear Fourier transform ⋮ On meromorphic inner functions in the upper half-plane ⋮ Weighted \(L^p\)-bounds for the Carleson type maximal operator with kernel satisfying mild regularity ⋮ Analysis and applications: The mathematical work of Elias Stein ⋮ Maximal Theorems for Some Orthogonal Series. I ⋮ ON Λ-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Further generalisations of a classical theorem of Daboussi ⋮ Unnamed Item ⋮ Divergence of Fourier series ⋮ STRUCTURAL AND GEOMETRIC CHARACTERISTICS OF SETS OF CONVERGENCE AND DIVERGENCE OF MULTIPLE FOURIER SERIES OF FUNCTIONS WHICH EQUAL ZERO ON SOME SET ⋮ Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis ⋮ Studies on extremal problems of spline-approximation ⋮ Unnamed Item ⋮ On Howland time-independent formulation of CP-divisible quantum evolutions ⋮ Pointwise convergence of lacunary partial sums of almost periodic Fourier series ⋮ Divergence of the mock and scrambled Fourier series on fractal measures ⋮ Studies on extremal problems of spline-approximation ⋮ Unnamed Item ⋮ Convergence, Uniqueness, and Summability of Multiple Trigonometric Series ⋮ Summable trigonometric series ⋮ WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials ⋮ Unnamed Item ⋮ Characterization of \(L^p (\mathbb R^n)\) using Gabor frames ⋮ Uniform convergence and everywhere convergence of Fourier series. I ⋮ Discrete analogues of singular Radon transforms ⋮ A complete orthonormal system of divergence ⋮ Bilinear operators with non-smooth symbol. I ⋮ A Mixed Problem for a Wave Equation with a Nonzero Initial Velocity ⋮ Unnamed Item ⋮ Quenched limit theorems for Fourier transforms and periodogram ⋮ Maximal transference and summability of multilinear Fourier series ⋮ Maximal theorems for the directional Hilbert transform on the plane ⋮ Wavelet packets: Uniform approximation and numerical integration ⋮ Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators ⋮ On almost everywhere convergence of strong arithmetic means of Fourier series ⋮ Unnamed Item ⋮ Convergence of series of dilated functions and spectral norms of GCD matrices ⋮ 𝐿^{𝑝} theory for outer measures and two themes of Lennart Carleson united ⋮ Inversion formula for the windowed linear canonical transform ⋮ Almost everywhere convergence of spectral sums for self-adjoint operators ⋮ Convergence over fractals for the Schroedinger equation ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces ⋮ On almost everywhere convergence of lacunary sequences of multiple rectangular Fourier sums ⋮ On the capacity of sets of divergence associated with the spherical partial integral operator ⋮ Inversion formula for the windowed Fourier transform ⋮ Uniqueness properties of solutions of Schrödinger equations ⋮ A weak–type orthogonality principle ⋮ Pointwise convergence of Fourier series. I: On a conjecture of Konyagin ⋮ APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS ⋮ An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments ⋮ On the Fourier analysis approach to the Hopf bifurcation theorem ⋮ On Random Fourier Series ⋮ Variants of the Maximal Double Hilbert Transform ⋮ A Remark on Bilinear Square Functions ⋮ Fourier transforms of stationary processes ⋮ Unnamed Item ⋮ Mixed problem for the wave equation with integrable potential in the case of two-point boundary conditions of distinct orders ⋮ Modulation invariant bilinear \(T(1)\) theorem ⋮ On the structure of covariant phase observables ⋮ Uniform bounds for oscillatory and polynomial Carleson operators ⋮ Vector valued maximal Carleson type operators on the weighted Lorentz spaces ⋮ Limit points of partial sums of Taylor series ⋮ On weighted norm inequalities for the Carleson and Walsh-Carleson operator ⋮ One-dimensional Fourier series of a function of many variables ⋮ Weighted norm inequalities for maximal operator of Fourier series ⋮ A Wiener—Wintner property for the helical transform ⋮ Elements of Postmodern Harmonic Analysis ⋮ Almost Everywhere Convergence of Vilenkin-Fourier Series ⋮ Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero ⋮ On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series ⋮ Convergence almost everywhere of multiple Fourier series over cubes ⋮ Almost everywhere convergent Fourier series ⋮ Triangular summability of two-dimensional Fourier transforms ⋮ Singular integrals with bilinear phases ⋮ Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮ Spaceability of subsets of the disc algebra ⋮ Fourier Analysis of Periodic Weakly Stationary Processes: A Note on Slutsky’s Observation ⋮ Inversion formulas for the short-time Fourier transform ⋮ Inversion formulas for the continuous wavelet transform ⋮ A BILINEAR RUBIO DE FRANCIA INEQUALITY FOR ARBITRARY SQUARES ⋮ The Two Weight Inequality for the Hilbert Transform: A Primer ⋮ Almost everywhere convergence of ergodic series ⋮ Sparse Bounds for Random Discrete Carleson Theorems ⋮ Singular integrals with exponential weights ⋮ Almost everywhere convergence of sequences of Cesàro and Riesz means of integrable functions with respect to the multidimensional Walsh system ⋮ The partial sum process of orthogonal expansions as geometric rough process with Fourier series as an example -- an improvement of Menshov-Rademacher theorem ⋮ Unnamed Item ⋮ Carleson-type maximal operators with variable kernels ⋮ Weak-\(L^p\) bounds for the Carleson and Walsh-Carleson operators ⋮ Factoring multi-sublinear maps ⋮ An extension of the Grünwald–Marcinkiewicz interpolation theorem ⋮ Structure of Fourier and Fourier-Stieltjes coefficients of series with slowly varying convergence moduli ⋮ Almost everywhere convergence of Banach space-valued Vilenkin-Fourier series ⋮ A short biography of Joseph Fourier and historical development of Fourier series and Fourier transforms ⋮ On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class ⋮ On a conjecture of E. M. Stein on the Hilbert transform on vector fields ⋮ Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities ⋮ On divergence of sinc-approximations everywhere on $(0,\pi)$ ⋮ The Helical Transform as a Connection between Ergodic Theory and Harmonic Analysis ⋮ Fourier series and the Lubkin W-transform ⋮ Hausdorff measures, capacities and compact composition operators ⋮ The development of square functions in the work of A. Zygmund ⋮ A Note on the Carleson‐Hunt Theorem ⋮ A characterization of \(L^p(\mathbb R )\) by local trigonometric bases with \(1<p<\infty\) ⋮ Distributional estimates for the bilinear Hilbert transform ⋮ Singular integrals along 𝑁 directions in ℝ² ⋮ Example of divergent Fourier series over rearranged Walsh-Paley system ⋮ Conjectures and problems on Bochner-Riesz means ⋮ Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence ⋮ Fourier Series Expansion of Stochastic Measures ⋮ Fourier series and the \(\delta ^2\) process ⋮ Functions represented by trigonometric series ⋮ Symmetrisierte und zentrierte Folgen von Zufallsvariablen ⋮ An inequality of Paley and convergence a.e. of Walsh-Fourier series ⋮ On certain lemmas of Marcinkiewicz and Carleson ⋮ The uniform convergence of Fourier series in orthogonal polynomials ⋮ Convergence and Divergence of Series Conjugate to a Convergent Multiple Fourier Series ⋮ A fixed-point theorem for a class of integral operators ⋮ Tauberian theorems for multivalent functions ⋮ Multi-dimensional Summability Theory and Continuous Wavelet Transform ⋮ On Rearrangements of Vilenkin-Fourier Series which Preserve almost Everywhere Convergence ⋮ Convergence almost everywhere of certain singular integrals and multiple Fourier series ⋮ Pointwise convergence of wavelet expansions ⋮ Maximal theorems for some orthogonal series II ⋮ A note on trigonometric series ⋮ Rearrangements of complete systems of convergence ⋮ Non-parametric orthogonal series identification of Hammerstein systems ⋮ Integrability Properties of the Maximal Operator on Partial Sums of Fourier Series in Orlicz Spaces ⋮ On the L\(_2\)-continuity moduli of functions ⋮ Weighted $L^{p}$ boundedness of Carleson type maximal operators ⋮ Convergence of $∑c_{k} f(k x)$ and the Lip $𝛼$ class ⋮ L p estimates for the bilinear Hilbert transform ⋮ Singular Brascamp–Lieb: A Survey ⋮ The quartile operator and pointwise convergence of Walsh series ⋮ The Wiener—Wintner property for the helical transform of the shift on [0, 1ℤ] ⋮ A weighted norm inequality for Fourier series ⋮ On rearrangements of Walsh-Fourier series and Hardy-Littlewood type maximal inequalities ⋮ On good-\lambda inequalities for couples of measurable functions ⋮ Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms ⋮ On the rate of pointwise divergence of Fourier and wavelet series in \(L^p\) ⋮ \(L^p\) bounds of maximal operators along variable planar curves in the Lipschitz regularity ⋮ Bilinear Hilbert transforms associated with plane curves ⋮ Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials ⋮ Hilbert integrals, singular integrals, and Radon transforms. I ⋮ Calderón-Zygmund theory for operator-valued kernels ⋮ Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers ⋮ Pointwise universal consistency of nonparametric density estimators ⋮ An explicit solution of a parabolic equation with nonlocal boundary conditions ⋮ Differentiable manifolds: Weyl and Whitney ⋮ A note on rearrangement of Fourier series ⋮ On the divergence of a certain series ⋮ Refinements of Gál's theorem and applications ⋮ Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces ⋮ Examples of divergent Fourier series for a wide class of rearranged Walsh-Paley system ⋮ Convergence and characterization of wavelets associated with dilation matrix in variable \(L^p\) spaces ⋮ Clifford algebra approach to pointwise convergence of Fourier series on spheres ⋮ On a characteristic of random matrices connected with unconditional convergence almost everywhere ⋮ On random variate generation when only moments of Fourier coefficients are known ⋮ Uniform bounds for the bilinear Hilbert transforms. II ⋮ Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with \(J_k\)-lacunary sequence of rectangular partial sums ⋮ Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums ⋮ The vector valued quartile operator ⋮ Exponential decay estimates for singular integral operators ⋮ Pointwise convergence of vector-valued Fourier series ⋮ A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications ⋮ On convergence of Fourier series of Besicovitch almost periodic functions ⋮ On a problem of Hardy for Walsh-Fourier series ⋮ Maximal bilinear singular integral operators associated with dilations of planar sets ⋮ First order periodic differential difference equations ⋮ Perturbing PLA ⋮ General orthonormal systems and certain problems of approximation theory ⋮ Minkowski tensor density formulas for Boolean models ⋮ A variation norm Carleson theorem ⋮ Fourier series on certain solenoids ⋮ \(\ell _{1}\)-summability of higher-dimensional Fourier series ⋮ Almost orthogonal operators on the bitorus. II ⋮ Bounded divergence of trigonometric series ⋮ Rearrangements of Fourier series ⋮ On the growth rate of arbitrary sequences of double rectangular Fourier sums ⋮ Convergence of solutions to the classic dual cosine equation ⋮ The Robin problem for the Laplace equation in a three-dimensional starlike domain ⋮ Periodic perturbations of neutral equations ⋮ A variation norm Carleson theorem for vector-valued Walsh-Fourier series ⋮ On the distribution of multiples of real numbers ⋮ Entropy and almost everywhere convergence of Fourier series ⋮ Triangular Cesàro summability of two dimensional Fourier series ⋮ On series \(\sum c_k f(kx)\) and Khinchin's conjecture ⋮ On systems of dilated functions ⋮ Localisation and weighted inequalities for spherical Fourier means ⋮ Breaking the duality in the return times theorem ⋮ \(\ell_{1}\)-summability of \(d\)-dimensional Fourier transforms ⋮ The Dirichlet ring and unconditional bases in \(L_2[0, 2\pi\)] ⋮ Equiconvergence of the expansions in multiple series and Fourier integrals whose ``rectangular partial sums are considered with respect to certain subsequence ⋮ Two-weight inequality for the Hilbert transform: a real variable characterization. II ⋮ GCD sums from Poisson integrals and systems of dilated functions ⋮ On the spectral density of stationary processes and random fields ⋮ A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\) ⋮ A Wiener-Wintner theorem for the Hilbert transform ⋮ Banach spaces of universal Taylor series in the disc algebra ⋮ On tangential regions for power series ⋮ Fractal and infinitely differentiable functions in compactly supported control problems for hyperbolic distributed systems ⋮ Local quanta, unitary inequivalence, and vacuum entanglement ⋮ Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series ⋮ The Neumann problem for the Helmholtz equation in a starlike planar domain ⋮ Summability of Gabor expansions and Hardy spaces ⋮ On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences ⋮ A weak generalized localization criterion for multiple Fourier series whose rectangular partial sums are considered over a subsequence ⋮ A uniform estimate for quartile operators ⋮ Almost orthogonal operators on the bitorus ⋮ Some remarks on bilinear Littlewood--Paley theory ⋮ \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations ⋮ Fourier solution of the wave equation for a star-like-shaped vibrating membrane ⋮ Boundedness and compactness of pseudodifferential operators with non-regular symbols on weighted Lebesgue spaces ⋮ PP* estimates for the truncated carleson operator ⋮ Estimation of norms of singular integral operators in \(L^ p\) spaces with weights, satisfying Muckenhoupt's condition ⋮ \(L^p\) boundedness of Carleson type maximal operators with nonsmooth kernels ⋮ On the existence of functions from \(L_ p\), p\(\geq 1\), whose Fourier series converge to zero on a prescribed set and diverge unboundedly outside it ⋮ On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems ⋮ Bessel orbits of normal operators ⋮ Heat problems for a starlike shaped plate ⋮ The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface ⋮ A certain class of orthogonal convergence systems ⋮ A discrete transform and decompositions of distribution spaces ⋮ The principle of general localization on unit sphere ⋮ Multilinear extrapolation and applications to the bilinear Hilbert transform ⋮ The (weak-\(L^{2}\)) boundedness of the quadratic Carleson operator ⋮ Pointwise summability of Gabor expansions ⋮ Banach-valued modulation invariant Carleson embeddings and outer-\(L^p\) spaces: the Walsh case ⋮ Multiple Fourier series and integrals ⋮ Tauberian \(L^ 1\)-convergence classes of Fourier series. II ⋮ A contribution to the study of the partial sums operator \(S_{NN^ 2}\) for double Fourier series ⋮ A classification procedure using the multiple Fourier series ⋮ Trigonometric series with nonnegative partial sums ⋮ Wrapped distributions and measurement errors ⋮ Weighted estimates of singular integrals and their applications ⋮ Pointwise consistency of the Hermite series density estimate ⋮ Oscillatory integrals related to Carleson's theorem: fractional monomials ⋮ Divergent triangular sums of double trigonometric Fourier series ⋮ On sets of divergence of series with respect to some orthogonal systems of functions ⋮ On almost-everywhere convergence of Malmquist-Takenaka series ⋮ On the convergence in category of trigonometric series ⋮ Almost everywhere convergence of the inverse spherical transform on \(\text{SL}(2,\mathbb{R})\) ⋮ The strong summability of Fourier transforms ⋮ Endpoint estimates from restricted rearrangement inequalities. ⋮ Exclusive robustness of Gegenbauer method to truncated convolution errors ⋮ Convergence of mock Fourier series on generalized Bernoulli convolutions ⋮ An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ Convergence and the Fourier character of trigonometric transforms with slowly varying convergence moduli ⋮ Equivalence of \textit{BMO}-type norms with applications to the heat and Stokes semigroups ⋮ A generalized Fejér's theorem for locally compact groups ⋮ Spectra of Bernoulli convolutions and random convolutions ⋮ Almost everywhere convergence of inverse spherical transforms on noncompact symmetric spaces ⋮ Fuzzy circle and new fuzzy sphere through confining potentials and energy cutoffs ⋮ Sampling multipliers and the Poisson summation formula ⋮ A generalized integral with applications to trigonometric series ⋮ Absolutely continuous spectra of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials ⋮ Pointwise Fourier inversion: A wave equation approach ⋮ Generalized localization and equiconvergence of expansions in double trigonometric series and in the Fourier integral for functions from \(L(\ln^+ L)^2\) ⋮ Weighted bounds for variational Walsh-Fourier series ⋮ The polynomial Carleson operator ⋮ New exceptional sets and convergence of the square partial sums of Walsh-Fourier series ⋮ A null series with small anti-analytic part. ⋮ Lineability of universal divergence of Fourier series ⋮ Some topics in the history of harmonic analysis in the twentieth century ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ The bilinear Hilbert transform in UMD spaces ⋮ Estimates for Hilbert transforms along variable general curves ⋮ Almost everywhere convergence of prolate spheroidal series ⋮ Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem ⋮ Central limit theorem for Fourier transforms of stationary processes ⋮ Central limit theorem for Fourier transform and periodogram of random fields ⋮ On the coefficients of a Fourier series on Sidon sets ⋮ Generalized localization and convergence tests for double trigonometric Fourier series of functions from \(L_ p\), \(p>1\) ⋮ The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals ⋮ Addendum to: ``A Hilbert space Dirichlet series and systems of dilated functions in \(L_2(0,1)\) ⋮ Hilbert transforms along double variable fractional monomials ⋮ Rectangular summation of multiple Fourier series and multi-parametric capacity ⋮ Generalized Carleson embeddings into weighted outer measure spaces ⋮ Polynomial Carleson operators along monomial curves in the plane ⋮ A central limit theorem for functions of a Markov chain with applications to shifts ⋮ On the divergence of subsequences of partial Walsh-Fourier sums ⋮ On classes of everywhere divergent power series ⋮ The Dirichlet problem for the Laplace equation in supershaped annuli ⋮ Cesàro means of subsequences of partial sums of trigonometric Fourier series ⋮ Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains ⋮ Algorithmic randomness and Fourier analysis ⋮ Mixed problem for a homogeneous wave equation with a nonzero initial velocity ⋮ The capacity of sets of divergence of certain Taylor series on the unit circle ⋮ On the boundedness of Weyl sums ⋮ On approximations for functions in the space of uniformly convergent Fourier series ⋮ A boundary uniqueness theorem for holomorphic functions of several complex variables ⋮ Convergence in the mean of the Fourier series in orthogonal polynomials ⋮ A class of lacunary trigonometric series ⋮ Weak (1,1) boundedness of oscillatory singular integral with variable phase ⋮ Rearrangements of the Haar system ⋮ Weighted norm inequalities for maximally modulated singular integral operators ⋮ On the convergence almost everywhere of double Fourier series ⋮ Fourier sums for the Banach indicatrix ⋮ Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials ⋮ On the convergence of double orthogonal series ⋮ Pointwise convergence of expansions with respect to certain product systems ⋮ Lebesgue's inequality in a uniform metric and on a set of full measure ⋮ On Marcinkiewicz integral ⋮ A conformal Skorokhod embedding ⋮ On Sjölin-Soria-Antonov type extrapolation for locally compact groups and a.e. convergence of Vilenkin-Fourier series ⋮ Maximal polynomial modulations of singular integrals ⋮ Fourier series in BMO with number theoretical implications ⋮ Uniqueness of trigonometric series and descriptive set theory, 1870-1985 ⋮ Conditions for convergence of Fourier series in the L metric ⋮ An operator theoretic approach to the convergence of rearranged Fourier series ⋮ On an interpolation theorem of Hunt-Sjölin ⋮ A continuous function with universal Fourier series on a given closed set of Lebesgue measure zero ⋮ Convergence of lacunary SU(1,1)-valued trigonometric products ⋮ Spectrality of Sierpinski-type self-affine measures ⋮ Some properties of the pseudo-Chebyshev polynomials of half-integer degree ⋮ Schrödinger equation and oscillatory Hilbert transforms of second degree ⋮ Rearrangements, arrangements of signs, and convergence of sequences of operators ⋮ Martingale transforms and uniformly convergent orthogonal series ⋮ Rearrangements of series ⋮ On the structure of universal functions for classes $L^p[0,1)^2$, $p\in(0,1)$, with respect to the double Walsh system ⋮ Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces ⋮ Integrability properties of the maximal operator on partial sums of Fourier series ⋮ \(L^p\) boundedness of Carleson \& Hilbert transforms along plane curves with certain curvature constraints ⋮ Mellin transforms on binary fields ⋮ Bounds for anisotropic Carleson operators ⋮ Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system ⋮ Baire's category theorem and trigonometric series ⋮ Analogs of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal function systems ⋮ Cesàro summability and Lebesgue points of higher dimensional Fourier series ⋮ Series with respect to the Walsh system and their generalizations ⋮ Representation and uniqueness problems in the theory of orthogonal series ⋮ On the rate of almost everywhere convergence of combinations and multivariate averages ⋮ The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator ⋮ Expansions of functions based on rational orthogonal basis with nonnegative instantaneous frequencies ⋮ A Littlewood-Paley inequality for the Carleson operator. ⋮ Classes of singular integral operators along variable lines ⋮ A guide to Carleson's theorem ⋮ Convergence over fractals for the periodic Schrödinger equation ⋮ On the almost everywhere convergence of sequences of multiple rectangular Fourier sums
Cites Work
