Cyclic operators for columns of the matrices of discrete transforms

DOI10.1007/s10958-015-2421-6zbMath1329.65329OpenAlexW845885948MaRDI QIDQ747091

M. S. Bespalov

Publication date: 23 October 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2421-6

zbMATH Keywords

Fourier transformrecursive algorithmdiscrete Walsh transformPaley enumerationcyclic operatorsHadamard enumerationHadamard-Sylvester matrix

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for discrete and fast Fourier transforms (65T50) Linear transformations, semilinear transformations (15A04) Boolean and Hadamard matrices (15B34)

Cites Work

• Eigenspaces of the discrete Walsh transform
• The finite basis question for semigroups of order less than six
• Operators of the multiplicative Fourier transform
• Rearrangements of series in the Walsh system
• New enumeration of Walsh matrices
• On the properties of a new tensor product of matrices
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