Offset Linear Canonical Stockwell Transform for Boehmians

Navneet Kaur, Bivek Gupta, Amit K. Verma and Ravi P. Agarwal ()
Additional contact information
Navneet Kaur: Department of Mathematics, IIT Patna, Patna 801106, Bihta, India
Bivek Gupta: School of Ethics, Governance, Culture and Social Systems, Chinmaya Vishwa Vidyapeeth, Ernakulam 682313, Kerala, India
Amit K. Verma: Department of Mathematics, IIT Patna, Patna 801106, Bihta, India
Ravi P. Agarwal: Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA

Mathematics, 2024, vol. 12, issue 15, 1-18

Abstract: 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 Δ -convergence as well as Δ -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.

Keywords: offset linear canonical Stockwell transform; Boehmian space; almost periodic function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/15/2379/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/15/2379/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:15:p:2379-:d:1446538

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().