Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Conference Papers Conference Paper Faculty Publications- Conference Papers Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Integral Transforms andGeneralized Quotient Space ontheTorus Subject The topic of the resource 44A15; 46F12; 46F99; 54B15; Integral transform; Mellin transform; Tempered Boehmians; Wavelet transform Description An account of the resource 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. Creator An entity primarily responsible for making the resource Rawat A.; Singh A. Source A related resource from which the described resource is derived Lecture Notes in Networks and Systems, Vol-952 LNNS, pp. 285-301. Publisher An entity responsible for making the resource available Springer Science and Business Media Deutschland GmbH Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1007/978-3-031-56307-2_19" target="_blank" rel="noreferrer noopener">https://doi.org/10.1007/978-3-031-56307-2_19</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190646550&amp;doi=10.1007%2F978-3-031-56307-2_19&amp;partnerID=40&amp;md5=082d6d2780e28cc5682bf556d9133023" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190646550&amp;doi=10.1007%2f978-3-031-56307-2_19&amp;partnerID=40&amp;md5=082d6d2780e28cc5682bf556d9133023</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 23673370; ISBN: 978-303156306-5 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Conference paper Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Rawat A., Department of Sciences and Humanities, CHRIST (Deemed to be University), Bangalore, India; Singh A., Department of Mathematics, Banasthali Vidyapith, Banasthali, India