Continuous spherical Gabor transform for Gelfand pair (Q2024727)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Continuous spherical Gabor transform for Gelfand pair |
scientific article; zbMATH DE number 7343505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous spherical Gabor transform for Gelfand pair |
scientific article; zbMATH DE number 7343505 |
Statements
Continuous spherical Gabor transform for Gelfand pair (English)
0 references
4 May 2021
0 references
A spherical Gabor transform is introduced which is based on the Gelfand pairs and their spherical Fourier transforms. Its fundamental properties, such as the Plancherel, Parseval and inversion formula, are established. A number of uncertainty principles (such as Donoho-Stark's uncertainty principle, Lieb's inequality and Beckner's uncertainty principle) associated with this transformation are proved.
0 references
Gelfand pair
0 references
spherical function
0 references
spherical Fourier transform
0 references
spherical Gabor transform
0 references
uncertainty principle
0 references
0 references
0 references
