Offset Linear Canonical Stockwell Transform for Boehmians

被引：4

作者：

Kaur, Navneet ^{[1
]}

Gupta, Bivek ^{[2
]}

Verma, Amit K. ^{[1
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] IIT Patna, Dept Math, Patna 801106, India

[2] Chinmaya Vishwa Vidyapeeth, Sch Ethics Governance Culture & Social Syst, Ernakulam 682313, Kerala, India

[3] Florida Inst Technol, Dept Math & Syst Engn, Melbourne, FL 32901 USA

来源：

MATHEMATICS | 2024年 / 12卷 / 15期

关键词：

offset linear canonical Stockwell transform; Boehmian space; almost periodic function; FRACTIONAL FOURIER-TRANSFORM; WAVELET TRANSFORM; S-TRANSFORM; SIGNALS; SPACES;

D O I：

10.3390/math12152379

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we construct a Boehmian space using the convolution theorem that contains the offset linear canonical Stockwell transforms (OLCST) of all square-integrable Boehmians. It is also proven that the extended OLCST on square-integrable Boehmians is consistent with the traditional OLCST. Furthermore, it is one-to-one, linear, and continuous with respect to Delta-convergence as well as Delta-convergence. Subsequently, we introduce a discrete variant of the OLCST. Ultimately, we broaden the application of the presented work by examining the OLCST within the domain of almost periodic functions.

引用

页数：18

共 57 条

[1] OPTICAL OPERATIONS ON WAVE-FUNCTIONS AS THE ABELIAN SUBGROUPS OF THE SPECIAL AFFINE FOURIER TRANSFORMATION [J].