Article ID Journal Published Year Pages File Type
6419071 Journal of Mathematical Analysis and Applications 2012 13 Pages PDF
Abstract

Harmonic analysis on Q is studied. The Fourier transforms of complex functions f(y) (y∈Q) in the Schwartz-Bruhat space S, are functions F(u) where u∈AQ/Q. It is shown that the corresponding Heisenberg-Weyl group is a locally compact topological group. Various time-frequency analysis methods (properties of displacement operators, Wigner and Ambiguity functions, etc.) are discussed in this context.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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