WILSON BASES AND MODULATION SPACES

被引：57

作者：

FEICHTINGER, HG

GROCHENIG, K

WALNUT, D

机构：

[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06269

[2] GEORGE MASON UNIV,FAK MATH SCI,FAIRFAX,VA 22030

来源：

MATHEMATISCHE NACHRICHTEN | 1992年 / 155卷

关键词：

D O I：

10.1002/mana.19921550102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the recently discovered WILSON bases of exponential decay are unconditional bases for all modulation spaces on R, including the classical BESSEL potential spaces, the Segal algebra S0, and the SCHWARTZ space. As a consequence we obtain new bases for spaces of entire functions. On the other hand, the WILSON bases are no unconditional bases for the ordinary L(p)-spaces for p not-equal 2.

引用

收藏

页码：7 / 17

页数：11

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