Zak transforms on binary fields

DOI10.1006/JATH.1999.3403zbMath0945.42024OpenAlexW2024754499MaRDI QIDQ1963947

Ferenc Schipp, William R. Wade

Publication date: 2 April 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3403

zbMATH Keywords

Wiener spacesZak transformbinary fieldsdyadic waveletsperiodizationHeisenberg nilpotent Lie groupWeil-Brezin map

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items (2)

Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ Hyperbolic wavelets and multiresolution in \(H^{2}(\mathbb{T})\)

Cites Work

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• Von Neumann algebras associated with pairs of lattices in Lie groups
• Sampling multipliers and the Poisson summation formula
• Time-frequency representations
• Bargmann transform, Zak transform, and coherent states
• The wavelet transform, time-frequency localization and signal analysis
• Fourier Analysis on Local Fields. (MN-15)
• The Generalized Walsh Functions

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