Model spaces results for the Gabor and Wavelet transforms

Autor:	Ascensi, Gerard, Bruna, Joaquim
Rok vydání:	2008
Předmět:	Mathematics - Functional Analysis 42C40
Druh dokumentu:	Working Paper
DOI:	10.1109/TIT.2009.2016028
Popis:	We prove that the unique Gabor atom with analytical model space is the Gaussian function. We give an analogous result for the wavelet transform. For the general case we give a new approach to study the irregular Gabor and wavelet frames. We improve some results for Gabor atoms in the Feichtinger algebra, and for a special class of wavelets. Comment: Submitted to IEEE Transactions on Information Theory
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0804.3254 Zobrazit plný text záznamu View this record from Arxiv