scientific article

zbMath1206.42001MaRDI QIDQ3052735

Igor Ya. Novikov, Vladimir Yu. Protasov, Maria A. Skopina

Publication date: 2 November 2010

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Related Items (68)

Jordan-Kronecker invariants of finite-dimensional Lie algebras ⋮ Two-scale relations for \(B\)-\(\mathcal L\)-splines with uniform knots ⋮ Spline wavelet decomposition in weighted function spaces ⋮ Orthogonal basis for wavelet flows ⋮ \(M\)-positive sets in \(\mathbb{R}^d\) ⋮ The condition of almost everywhere convergence for a functional series with a weak analogue of the orthonormality property ⋮ Sharp estimates of deviations from Fourier-Haar sums for continuous functions of two variables ⋮ On the noncompleteness and the minimality of the system of exponentials in weighted spaces on the halfline and the line ⋮ On the rate of decay of a Meyer scaling function ⋮ Wavelet p-analogs of the discrete Haar transform ⋮ Orthorecursive expansions and their properties ⋮ Jackson-type theorem on approximation by non-stationary periodic wavelets ⋮ Adaptive wavelet decomposition of matrix flows ⋮ On an imbedding problem for functions of several variables ⋮ Rademacher chaoses in problems of constructing spline affine systems ⋮ Realization of the spline-wavelet decomposition of the first order ⋮ On uniform monotone approximation of continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets ⋮ Embedding of spaces and wavelet decomposition ⋮ Uncertainty constants and quasispline wavelets ⋮ Hermitian interpolation using window systems generated by uniform translates of the Gaussian function ⋮ Meyer wavelets with least uncertainty constant ⋮ Symmetric interpolatory dual wavelet frames ⋮ Localisation property of Battle-Lemarié wavelets' sums ⋮ Multiresolution analysis on product of zero-dimensional Abelian groups ⋮ Approximation by frame-like wavelet systems ⋮ CALIBRATION RELATIONS FOR ANALOGUES OF THE BASIS SPLINES WITH UNIFORM NODES ⋮ A method for finding precise error bounds of numerical integration formulas in higher dimensions ⋮ Newman cyclotomic polynomials, refinable splines and the Euler binary partition function ⋮ Subdivision schemes on the dyadic half-line ⋮ \(p\)-adic wavelets and their applications ⋮ Riesz multiresolution analysis on Vilenkin groups ⋮ Simple tiles and attractors ⋮ Minimal splines and wavelets ⋮ On the constant and step in Jackson's inequality for best approximations by trigonometric polynomials and by Haar polynomials ⋮ How the old Slavs (Serbs) wrote numbers ⋮ Wavelets on a manifold ⋮ Нитационные демпферы спутников, стаБилиэируемых вгащением ⋮ Bases of trigonometric polynomials consisting of shifts of Dirichlet kernels ⋮ Spectral factorization of 2-block Toeplitz matrices and refinement equations ⋮ Algorithms for wavelet decomposition of of the space of Hermite type splines ⋮ Biorthogonal bases of spaces of an \(n\)-separate multiresolution analysis and multiwavelets ⋮ A method for the construction of wavelet analogs by means of trigonometric \(B\)-splines ⋮ Orthonormal bases of multidimensional trigonometric polynomials, consisting of translations of one of them ⋮ Unnamed Item ⋮ Limit properties of systems of integer translates and functions generating tight Gabor frames ⋮ Computational (numerical) diameter in a context of general theory of a recovery ⋮ Spaces of dyadic distributions ⋮ Wavelet expansion of functions on a differentiable manifold ⋮ Parseval frames and the discrete Walsh transform ⋮ Construction of orthogonal multiwavelet bases ⋮ Spline wavelet bases in function spaces with Muckenhoupt weights ⋮ Splines of variable approximation order and their wavelet decompositions ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ On construction of multivariate wavelet frames ⋮ A theorem on relative universal spaces with given weight and dimension ⋮ Some examples of supernilpotent non-special radicals ⋮ Parseval frames of serial shifts of a function in spaces of trigonometric polynomials ⋮ О понятии пространства в топологии ⋮ \(p\)-adic refinable functions and MRA-based wavelets ⋮ On wavelets related to the Walsh series ⋮ Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type ⋮ Simple rings whose lower radicals are atoms ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts ⋮ On \(n\)-term approximations with respect to frames bounded in \(L^p(0,1)\), \(2<p<\infty\) ⋮ On the Riesz constants for systems of integer translates ⋮ On the construction of biorthogonal systems for subspaces generated by integral shifts of a single function ⋮ Wavelet expansions on the Cantor group

This page was built for publication: