The abc-Problem for Gabor Systems: 1152 - Brossura

Dai, Xin-rong; Sun, Qiyu

Brossura

ISBN 10: 1470420155 ISBN 13: 9781470420154

Casa editrice: Amer Mathematical Society, 2016

Riassunto

A longstanding problem in Gabor theory is to identify time-frequency shifting lattices $a\mathbb{Z}\times b\mathbb{Z}$ and ideal window functions $\chi_I$ on intervals $I$ of length $c$ such that $\{e^{-2\pi i n bt} \chi_I(t- m a):\ (m, n)\in \mathbb{Z}\times \mathbb{Z}\}$ are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above $abc$-problem for Gabor systems.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1470420155
• ISBN 13: 9781470420154
• Rilegatura: Copertina flessibile
• Numero di pagine: 99
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile