Donoho-Stark and Paley-Wiener theorems for the G-transform

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Vu Kim Tuan (Author) Other; Semyon Yakubovich (Author) FCUP

Journal

Title: Advances in Applied Mathematics

Vol. 45

Pages: 108-124

ISSN: 0196-8858

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 7 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-505

DOI: 10.1016/j.aam.2009.11.012

Abstract (EN): This paper deals with a class of G-transforms g(x) = G(f)(x):=integral(infinity)(0) G(2n.2m)(m,n)(xy vertical bar (a(n)), - ((a) over bar (n)) (b(m)), - ((b) over bar (m))) f(y)dy with the Meijer G-function as the kernel. We prove the Donoho-Stark uncertainty principle for the G-transform. We also give a characterization of the image of functions that have compact support (Paley-Wiener type theorem) under this class of transforms in case n = 0.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17