Coorbit Spaces with Voice in a Frechet Space

被引：13

作者：

Dahlke, S. ^{[1
]}

De Mari, F. ^{[2
]}

De Vito, E. ^{[2
]}

Labate, D. ^{[3
]}

Steidl, G. ^{[4
]}

Teschke, G. ^{[5
]}

Vigogna, S. ^{[6
]}

机构：

[1] Philipps Univ Marburg, Math & Informat FB12, Hans Meerwein Str, D-35032 Marburg, Germany

[2] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, Genoa, Italy

[3] Univ Houston, Dept Math, 651 PGH Bldg, Houston, TX 77204 USA

[4] Univ Kaiserslautern, Dept Math, Paul Ehrlich Str 31, D-67663 Kaiserslautern, Germany

[5] Univ Appl Sci, Hsch Neubrandenburg, Inst Computat Math Sci & Technol, Brodaer Str 2, D-17033 Neubrandenburg, Germany

[6] Duke Univ, Dept Math, 120 Sci Dr, Durham, NC 27708 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 01期

基金：

美国国家科学基金会;

关键词：

Coorbit spaces; Frechet spaces; Representations of locally compact groups; Reproducing formulae; INTEGRABLE GROUP-REPRESENTATIONS; BANACH-SPACES; ATOMIC DECOMPOSITIONS; LP-SPACES; FRAMES;

D O I：

10.1007/s00041-016-9466-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We set up a new general coorbit space theory for reproducing representations of a locally compact second countable group G that are not necessarily irreducible nor integrable. Our basic assumption is that the kernel associated with the voice transform belongs to a Fr,chet space of functions on G, which generalizes the classical choice . Our basic example is , or a weighted versions of it. By means of this choice it is possible to treat, for instance, Paley-Wiener spaces and coorbit spaces related to Shannon wavelets and Schrodingerlets.

引用

页码：141 / 206

页数：66

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