Integral Transforms andGeneralized Quotient Space ontheTorus

Title

Integral Transforms andGeneralized Quotient Space ontheTorus

Creator

Rawat A.; Singh A.

Description

In this chapter, we discuss one of the recent generalization of Schwartz distributions that has significantly influenced the expansion of various mathematical disciplines. Here, we study the space of generalized quotient on the torus. Different integral transforms are investigated on the space of generalized quotients on the torus BS?(Td). The space BS?(Td) is made of both distributions as well as space of hyperfunctions on the torus. Further, by introducing the relation between the Fourier and other integral transforms, the conditional theorems are proved for generalized quotients on tours. Moreover, we study the convergence structure of delta-convergence on the generalized quotient space, and an inversion theorem is proved. The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.

Source

Lecture Notes in Networks and Systems, Vol-952 LNNS, pp. 285-301.

Date

2024-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Subject

44A15; 46F12; 46F99; 54B15; Integral transform; Mellin transform; Tempered Boehmians; Wavelet transform

Coverage

Rawat A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Singh A., Department of Mathematics, Banasthali Vidyapith, Banasthali, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-303156306-5

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-3-031-56307-2_19

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190646550&doi=10.1007%2f978-3-031-56307-2_19&partnerID=40&md5=082d6d2780e28cc5682bf556d9133023