Localization Operators and Scalogram in the Framework of Mehler-Fock Wavelet Transform

被引：3

作者：

Dades, Abdelaali ^{[1
]}

Tyr, Othman ^{[1
]}

Daher, Radouan ^{[1
]}

Fantasse, Yassine ^{[1
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, Dept Math, Lab Fundamental & Appl Math, Casablanca, Morocco

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 08期

关键词：

Mehler-Fock transform; Localization operators; Scalogram; Mehler-Fock wavelet transform; TIME-FREQUENCY LOCALIZATION; CONVOLUTION;

D O I：

10.1007/s11785-023-01431-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to study the localization operators associated to the Mehler-Fock wavelet (MF-wavelet) transform introduced in Prasad and Verma (Inf Process 16:1850050, 2018). First, we study the boundedness and compactness properties of these operators. Then, we show that these operators are in Schatten-von Neuman class. Some results on the scalograms in this framework are also given.

引用

页数：24

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