Discrete wavelets and the Vilenkin-Chrestenson transform (original) (raw)

Biorthogonal wavelets on Vilenkin groups

Yuri Farkov

Proceedings of the Steklov Institute of Mathematics, 2009

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Periodic wavelets in Walsh analysis // Communic. Math. Appl. 2012. V. 3. № 3. P. 223–242.

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On Biorthogonal Wavelets Related to the Walsh Functions

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International Journal of Wavelets, Multiresolution and Information Processing, 2011

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Algorithms for wavelet construction on Vilenkin groups

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P-Adic Numbers, Ultrametric Analysis, and Applications, 2011

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Periodic Wavelets in Walsh Analysis

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Wavelet frames on Vilenkin groups and their approximation properties

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International Journal of Wavelets, Multiresolution and Information Processing, 2015

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Construction of Periodic Wavelet Frames Generated by the Walsh Polynomials

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Mathematics, 2015

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On spaces of periodic functions with wavelet transforms

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Boletim da Sociedade Paranaense de Matemática, 2021

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Multiresolution analysis and wavelets on Vilenkin groups

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Facta universitatis - series: Electronics and Energetics, 2008

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Wavelets and Frames Based on Walsh-Dirichlet Type Kernels

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Communications in Mathematics and Applications

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On the structure of the space of wavelet transforms

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Comptes Rendus Mathematique, 2008

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Approximation of Periodic Functions by Wavelet Fourier Series

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International journal of analysis and applications, 2024

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Periodic Wavelet Transforms and Periodicity Detection

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SIAM Journal on Applied Mathematics, 2002

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Wavelet transforms associated with finite cyclic groups

Giuseppe Caire

1993

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A note on wavelet subspaces

Ondrej Hutník

Monatshefte für Mathematik, 2010

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On wavelets related to the Walsh series

Yuri Farkov

Journal of Approximation Theory, 2009

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Orthogonal wavelets on locally compact Abelian groups

Yuri Farkov

Functional Analysis and Its Applications, 1997

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Constructions of MRA-based wavelets and frames in Walsh analysis // Poincare J. Anal. Appl. 2015. V. 2. Special Issue (IWWFA-II, Delhi). P.13-36.

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Construction of Wavelets and Applications

Ferenc Schipp

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Wavelet frames related to Walsh functions

Yuri Farkov

European Journal of Mathematics, 2018

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A Note on Some New Generalized Wavelets

A Zothansanga

Journal of Mathematics

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Wavelet Sets and Generalized Scaling Sets on Vilenkin Group

Arpit Swain

arXiv: Functional Analysis, 2020

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Fe b 20 00 Wavelet filters and infinite-dimensional unitary groups

Palle Jorgensen

2000

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Orthogonal wavelets on direct products of cyclic groups

Yuri Farkov

Mathematical Notes, 2007

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A unified theoretical harmonic analysis approach to the cyclic wavelet transform

Sahand Communications in Mathematical Analysis

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Appell sequences, continuous wavelet transforms and series expansions

Seng Luan Lee

Applied and Computational Harmonic Analysis, 2017

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Wavelet transform on the circle and the real line: A unified group-theoretical treatment

JULIO GUERRERO

Applied and Computational Harmonic Analysis, 2006

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Unconditional Convergence of Wavelet Expansion on the Cantor Dyadic Group

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Wavelets on Discrete Fields

Kristin Flornes

Applied and Computational Harmonic Analysis, 1994

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On the Computation of Battle-Lemarie's Wavelets

Ming-jun Lai

Mathematics of Computation, 1994

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Wavelet filters and infinite-dimensional unitary groups

Palle Jorgensen

arXiv (Cornell University), 2000

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