On the Walsh Functions
From MaRDI portal
Publication:5793920
DOI10.2307/1990619zbMath0036.03604OpenAlexW4229899344WikidataQ56268847 ScholiaQ56268847MaRDI QIDQ5793920
Publication date: 1949
Full work available at URL: https://doi.org/10.2307/1990619
Related Items (only showing first 100 items - show all)
CENTRAL LIMIT THEOREMS FOR FINITE WALSH-FOURIER TRANSFORMS OF WEAKLY STATIONARY TIME SERIES ⋮ On Proinov's lower bound for the diaphony ⋮ A variational method using Walsh functions ⋮ Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\) ⋮ Contraction of Walsh Fourier Series ⋮ Stationary determinantal processes: \(\psi\)-mixing property and correlation dimensions ⋮ A Unified Approach to Uniqueness of Walsh Series and Haar Series ⋮ On Walsh-Fourier series ⋮ Nombres normaux et fonctions pseudo-aléatoires ⋮ A certain series of multiplicatively orthogonal functions ⋮ On a certain system of orthogonal step functions. I ⋮ A convergence test for Walsh-Fourier series ⋮ Integrability and L-convergence of multiple trigonometric series ⋮ Walsh-Fourier Coefficients and Locally Constant Functions ⋮ On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels ⋮ Metrical lower bounds on the discrepancy of digital Kronecker-sequences ⋮ An efficient weak Euler-Maruyama type approximation scheme of very high dimensional SDEs by orthogonal random variables ⋮ Weighted norm inequalities for maximal operator of Fourier series ⋮ New martingale inequalities and applications to Fourier analysis ⋮ Wavelet frames related to Walsh functions ⋮ Problems of unconditional convergence ⋮ Comparison of V- and S-Dini tests. Counterexamples for symmetric Dini tests with respect to generalized Haar and Walsh systems ⋮ Solutions of nonlinear differential equations with feature detection using fast Walsh transforms ⋮ On generalized Walsh Fourier series, I ⋮ Decay of Walsh Series and Dyadic Differentiation ⋮ Fourier coefficients of continuous functions ⋮ On the integrability of dyadic maximal Walsh series ⋮ On the order of magnitude of Walsh-Fourier transform ⋮ The Fourier coefficients of functions with bounded variation ⋮ Strong convergence theorems for Walsh-Fejér means ⋮ Effective Fine‐convergence of Walsh‐Fourier series ⋮ Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension ⋮ Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution ⋮ Some classes of functions and Fourier coefficients with respect to general orthonormal systems ⋮ A Note on Walsh-Fourier Series ⋮ Strong divergence of reconstruction procedures for the Paley-Wiener space \(\mathcal{PW}_\pi^1\) and the Hardy space \(\mathcal{H}^1\) ⋮ Cesàro Summability of Two-dimensional Walsh-Fourier Series ⋮ An extension of the dyadic calculus with fractional order derivatives. Further theory and applications ⋮ On uniqueness sets for multiple Walsh series ⋮ Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules ⋮ Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis ⋮ A NOTE ON A CENTRAL LIMIT THEOREM FOR STATIONARY PROCESSES ⋮ Verallgemeinerte Walsh—Fourierreihen. II ⋮ Double Walsh series with coefficients of bounded variation of higher order ⋮ Partial ordering that generates filtered Walsh series ⋮ Integral of Two-dimensional Fine-computable Functions ⋮ Integral of Fine Computable functions and Walsh Fourier series ⋮ A note on a central limit theorem for dependent random variables ⋮ Limit theorems for stationary and dyadic-stationary processes ⋮ Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series ⋮ Generalized Walsh bases and applications ⋮ On Fine's results for Lebesgue constants of the Walsh system ⋮ On the dyadic derivative ⋮ Estimation of the spectrum and of the covariance function of a dyadic-stationary series ⋮ Sets of uniqueness for Haar series ⋮ System Approximations and Generalized Measurements in Modern Sampling Theory ⋮ Pseudofunctions and uniqueness on the group of integers of ap-series field ⋮ Discrete wavelet transforms in Walsh analysis ⋮ Multipliers for Walsh Fourier series ⋮ Sur les facteurs de convergence des séries de Walsh Fourier ⋮ Mean convergence of Walsh Fourier series ⋮ On decomposition of Walsh Fourier series ⋮ On superorthogonality ⋮ Nombres normaux applications aux fonctions pseudoaleatoires ⋮ Über gewisse Funktionale im Raum \(C^{(v)} [0,1\) und Walsh- Fourierkoeffizienten] ⋮ Walshfunktionen und endlichdimensionale Hilberträume ⋮ On contraction of Walsh Fourier series ⋮ On linear methods of summation of Fourier series with respect to multiplicative systems ⋮ Eine algebraische Herleitung und eine Verallgemeinerung des Satzes von Fine über Gruppen von orthonormalen Funktionen und eine Beschreibung der vielfalterhaltenden Transformationen des Intervalls \([0,1\) auf sich selbst] ⋮ An expansion for evaluating sensitivity to a random parameter ⋮ Capacities of sets and harmonic analysis on the Group \(2^\omega\) ⋮ A class of Walsh M-sets of measure zero ⋮ Almost Everywhere Divergence of Multiple Walsh-Fourier Series ⋮ An Application of Banach Limits ⋮ Fourier-Stieltjes Series of Walsh Functions ⋮ THE DECAY OF THE WALSH COEFFICIENTS OF SMOOTH FUNCTIONS ⋮ General Fourier coefficients and convergence almost everywhere ⋮ On the lacunary partial sums of Walsh Fourier series ⋮ Lebesgue functions and multiple function series. I ⋮ Cesàro summability of one- and two-dimensional Walsh-Fourier series ⋮ On Walsh-Fourier Series ⋮ The Khinchin inequality and Chen’s theorem ⋮ Signal and System Approximation from General Measurements ⋮ A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces ⋮ General Fourier coefficients and problems of summability almost everywhere ⋮ On mean values of the $L_q$-discrepancies of point distributions ⋮ Vilenkin-Lebesgue points and almost everywhere convergence for some classical summability methods ⋮ On Walsh series with coefficients tending monotonically to zero ⋮ On quadratic errors of statistical estimators of distributions of sufficient statistics of bivariate exponential distributions ⋮ Orthonormal Sets with Non-Negative Dirichlet Kernels. II ⋮ Multiple Walsh series and Zygmund sets ⋮ Random Tempered Distributions on Locally Compact Separable Abelian Groups ⋮ Harmonic analysis on totally disconnected groups and irregularities of point distributions ⋮ Upper Bounds in Classical Discrepancy Theory ⋮ On the magnitude of Fourier coefficients with respect to the character system of \(\mathbb Z_p\) ⋮ Fourier series on the ring of integers in a 𝑝-series field ⋮ Nonlocalization properties of time operators transformations ⋮ Association schemes on general measure spaces and zero-dimensional abelian groups ⋮ The variation of general Fourier coefficients of Lipschitz class functions ⋮ Unnamed Item
Cites Work
This page was built for publication: On the Walsh Functions
