Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory

Labunets, V. G.
Chasovskikh, V. P.
Ostheimer, E.

Publication date

January 2016

Journal

issn:2310-2888

Abstract

In this paper we develop generalized nonharmonic analysis of signals and images on commutative hypergroups, associated with arbitrary unitary (orthogonal) transforms. We introduce generalized convolutions, correlations, Wigner-Ville distributions, and ambiguity functions. All theorems and properties of ordinary classical Fourier harmonic analysis are transferred on nonharmonic analysis Fourier on arbitrary Abelian hypergroups

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Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory

Abstract

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Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory

Abstract

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