V. N. Malozemov, S. M. Masharsky, “Generalized wavelet bases associated with the discrete Vilenkin–Chrestenson transformation”, Algebra i Analiz, 13:1 (2001), 111–157; St. Petersburg Math. J., 13:1 (2002), 75

Citation in format AMSBIB

\Bibitem{MalMas01}

\by V.~N.~Malozemov, S.~M.~Masharsky

\paper Generalized wavelet bases associated with the discrete Vilenkin--Chrestenson transformation

\jour Algebra i Analiz

\yr 2001

\vol 13

\issue 1

\pages 111--157

\mathnet{http://mi.mathnet.ru/aa922}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819364}

\zmath{https://zbmath.org/?q=an:0999.42026}

\transl

\jour St. Petersburg Math. J.

\yr 2002

\vol 13

\issue 1

\pages 75--106

This publication is cited in the following 16 articles:

Farkov Yu., “Nonstationary Multiresolution Analysis For Vilenkin Groups”, 2017 International Conference on Sampling Theory and Applications (Sampta), IEEE, 2017, 595–598
Farkov Yu.A., Rodionov E.A., “On Biorthogonal Discrete Wavelet Bases”, Int. J. Wavelets Multiresolut. Inf. Process., 13:1 (2015), 1550002
M. S. Bespalov, “Generating operator for discrete Chrestenson functions”, Problems Inform. Transmission, 51:1 (2015), 37–48
Farkov Yu., Lebedeva E., Skopina M., “Wavelet Frames on Vilenkin Groups and Their Approximation Properties”, Int. J. Wavelets Multiresolut. Inf. Process., 13:5 (2015), 1550036
M. S. Bespalov, “On the properties of a new tensor product of matrices”, Comput. Math. Math. Phys., 54:4 (2014), 547–561
Yu. A. Farkov, S. A. Stroganov, “The use of discrete dyadic wavelets in image processing”, Russian Math. (Iz. VUZ), 55:7 (2011), 47–55
Yu. A. Farkov, “Discrete Wavelets and the Vilenkin–Chrestenson Transform”, Math. Notes, 89:6 (2011), 871–884
Tsvetkov K.Yu., Korovin V.M., Kosarevich D.V., “Optimalnyi ansambl nelineinykh signalov dlya sinkhronnykh sistem peredachi informatsii s kodovym razdeleniem abonentov”, Informatsionno-upravlyayuschie sistemy, 2011, no. 6, 40–44
M. S. Bespalov, “Discrete Chrestenson transform”, Problems Inform. Transmission, 46:4 (2010), 353–375
Farkov, YA, “On wavelets related to the Walsh series”, Journal of Approximation Theory, 161:1 (2009), 259
Yu. A. Farkov, “Orthogonal Wavelets on Direct Products of Cyclic Groups”, Math. Notes, 82:6 (2007), 843–859
Yu. A. Farkov, “Orthogonal wavelets with compact support on locally compact Abelian groups”, Izv. Math., 69:3 (2005), 623–650
A. V. Korovkin, V. N. Malozemov, “Ahmed–Rao Bases”, Math. Notes, 75:6 (2004), 780–786
A. V. Korovkin, S. M. Masharsky, “The fast Ahmed-Rao transform with the frequency subsampling”, Comput. Math. Math. Phys., 44:6 (2004), 934–943
V. N. Malozemov, K. Yu. Tsvetkov, “On Optimal Signal–Filter Pairs”, Problems Inform. Transmission, 39:2 (2003), 216–226
S. M. Masharsky, “Fast Vilenkin–Chrestenson transform based on Good's factorization”, Comput. Math. Math. Phys., 42:6 (2002), 751–757