Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419071 | Journal of Mathematical Analysis and Applications | 2012 | 13 Pages |
Abstract
Harmonic analysis on Q is studied. The Fourier transforms of complex functions f(y) (yâQ) in the Schwartz-Bruhat space S, are functions F(u) where uâAQ/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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Vourdas,