Title: On an abstract Segal algebra under fractional convolution
Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814
Article ID: MTJPAM-D-21-00034; Volume 4 / Issue 1 / Year 2022, Pages 1-22
Document Type: Research Paper
aOndokuz Mayıs University, Faculty of Art and Sciences, Departman of Mathematics, Kurupelit, Samsun, 55139, Turkey
bOndokuz Mayıs University, Faculty of Art and Sciences, Departman of Mathematics, Kurupelit, Samsun, 55139, Turkey
Received: 19 May 2021, Accepted: 18 June 2021, Published: 30 June 2021.
Corresponding Author: Ayşe Sandıkçı (Email address: email@example.com)
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In this work, we find approximate identities for the spaces , and under convolution. Furthermore, we determine approximate identities with compactly supported fractional Fourier transforms in the spaces and , where is weight function of regular growth. We give definitions of multipliers of these Banach algebras under convolution. Also, we show that the space under some conditions is an abstract Segal algebra with recpect to .
Keywords: Fractional Fourier transform, approximate identity, Segal algebrasReferences:
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