On wavelet multipliers and Landau-Pollak-Slepian operators on locally compact abelian topological groups

被引：1

作者：

Abdullah, M. Kh. ^{[1
]}

Gol, R. A. Kamyabi ^{[1
,2
]}

Janfada, M. ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Math, POB 1159-91775, Mashhad, Razavi Khorasan, Iran

[2] Ferdowsi Univ Mashhad, Dept Math, CEAAS, Mashhad, Razavi Khorasan, Iran

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2019年 / 10卷 / 02期

关键词：

Locally compact abelian group; Dual group; Wavelet multiplier operator; Landau-Pollak-Slepian operator; Admissible wavelets; Unitary representation;

D O I：

10.1007/s11868-019-00286-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the wavelet multiplier and Landau-Pollak-Slepian (L.P.S) operators on the Hilbert space L-2(G), where G is a locally compact abelian topological group and investigate some of their properties. In particular, we show that they are bounded linear operators, and are in Schatten p-class spaces, 1 <= p <= infinity, and we determine their trace class.

引用

页码：257 / 267

页数：11

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