Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Orthogonal Wavelets on the Cantor Dyadic Group - MaRDI portal

Orthogonal Wavelets on the Cantor Dyadic Group

From MaRDI portal
Publication:4875470

DOI10.1137/S0036141093248049zbMath0841.42014MaRDI QIDQ4875470

W. Christopher Lang

Publication date: 24 April 1996

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)




Related Items (78)

On biorthogonal \(p\)-adic wavelet basesMulti-window dilation-and-modulation frames on the half real lineA wavelet theory for local fields and related groupsWavelet frames on Vilenkin groups and their approximation propertiesN-Valid trees in wavelet theory on Vilenkin groupsExplicit construction of wavelet frames on locally compact abelian groupsWAVELETS ASSOCIATED WITH NONUNIFORM MULTIRESOLUTION ANALYSIS ON POSITIVE HALF-LINEWeak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+)Periodic Wavelet Frames on Local Fields of Positive CharacteristicFinite Parseval frames in Walsh analysisShift-invariant subspaces an wavelets on local fieldsThe formation and portraits of subspaceFa-frames\(p\)-adic mathematical physics: the first 30 years\(\ell^2(G)\)-linear independence for systems generated by dual integrable representations of LCA groupsFrame multiresolution analysis on local fields of positive characteristicBiorthogonal wavelets on local fields of positive characteristicWavelet frames related to Walsh functionsRiesz multiresolution analysis on locally compact abelian groups: construction and exceptionsExistence of unconditional wavelet bases for Lp-norm over a local fields of positive characteristicApproximation properties of systems of periodic wavelets on the Cantor groupA Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real LineA characterization of tight wavelet frames on local fields of positive characteristicGeneralized multiresolution structures in reducing subspaces of local fieldsOrthogonal Shift Systems in the Field of p-adic NumbersConstruction of periodic wavelet frames generated by the Walsh polynomialsVector valued nonuniform nonstationary wavelets and associated MRA on local fieldsScaling sets and generalized scaling sets on Cantor dyadic groupExamples of frames on the Cantor dyadic groupUnconditional bases of wavelets in local fieldsWhy are Haar bases in various structures the same?Harmonic analysis on rational numbersWavelet packets and wavelet frame packets on local fields of positive characteristicMultiresolution analysis on product of zero-dimensional Abelian groups\(p\)-adic multiresolution analysis and wavelet framesTotally disconnected and locally compact Heisenberg-Weyl groupsConstruction of nonuniform wavelet frames on non-Archimedean fieldsHaar system on a product of zero-dimensional compact groupsUncertainty principle for the Cantor dyadic groupTight framelet packets on local fields of positive characteristicThe necessary condition and sufficient conditions for wavelet frame on local fieldsOn orthogonal \(p\)-adic wavelet bases\(p\)-adic wavelets and their applicationsRiesz multiresolution analysis on Vilenkin groupsConstruction of biorthogonal wavelet packets on local fields of positive characteristicStep refinable functions and orthogonal MRA on Vilenkin groupsOrthogonal wavelets on direct products of cyclic groupsON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONSConstruction of MRA and non-MRA wavelet sets on Cantor dyadic groupPeriodic wavelets on the \(p\)-adic Vilenkin groupWavelet bases in the Lebesgue spaces on the field of \(p\)-adic numbersUncertainty product for Vilenkin groups\(p\)-adic Haar multiresolution analysis and pseudo-differential operatorsNonuniform wavelet packets on local fields of positive characteristicCharacterization of wavelets and MRA wavelets on local fields of positive characteristicSemi-orthogonal wavelet frames on local fieldsDuality principles for \(F_a \)-frame theory in \(L^2 (\mathbb{R}_+ )\)Minimum-energy wavelet frames generated by the Walsh polynomialsNonuniform multiresolution analysis on local fields of positive characteristicNonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\)Dyadic wavelet frames on a half-line using the Walsh–Fourier transformWalsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\)F_a-frame and Riesz sequences in L^2(ℝ_+)Nonuniform discrete wavelets on local fields of positive characteristicCONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELDThe equivalence of \(F_a\)-framesAdaptive multiresolution analysis on the dyadic topological groupp-Wavelet frame packets on a half-line using the Walsh–Fourier transformWavelets on compact abelian groupsOn wavelets related to the Walsh seriesBiorthogonal wavelets on Vilenkin groupsBiorthogonal $p$-wavelet packets related to the Walsh polynomialsWavelet expansions on the Cantor groupDualwavelet frames in Sobolev spaces on local fields of positive characteristicTIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALSMultiresolution analysis through low-pass filter on local fields of positive characteristicWalsh and wavelet methods for differential equations on the Cantor groupAssociation schemes on general measure spaces and zero-dimensional abelian groupsMultiresolution Analysis and Radon Measures on a Locally Compact Abelian Group




This page was built for publication: Orthogonal Wavelets on the Cantor Dyadic Group