Fourier-type algebras and their homomorphisms

شمس یوسفی, مرضیه; Ahmadpoor Jadde Kenari, Mohammad Ali

doi:10.22124/psug.2026.9982

Fourier-type algebras and their homomorphisms

Document Type : Original Article

Authors

¹ Department of Pure mathematics, Faculty of Mathematical sciences, University of Guilan, Rasht,, Iran

² Department of Pure Mathematics, University of Carleton

10.22124/psug.2026.9982

Abstract

This book is a review of all the concepts needed for the study of Fourier-type algebras.
These concepts include introductory information on Banach algebras and operator algebras, including spectrum theory, matrix analysis, and introductions to the theory of topological groups, including group algebras.
It is topological groups and group algebras. In this book, an effort has been made to provide as much background as possible so that the reader can go to Fourier algebras with a complete set of introductory knowledge. In general, this branch in the analysis of complex and extensive categories, and studying more and more basic concepts helps to understand the subject better. Therefore, each discussion has tried to give the readers ways to get more information by giving appropriate references.
Chapters 1 and 2 provide the introduction introduced above. Chapters 3, 4, and part of chapter 5 are mainly the author's research works and they deal with the expansion and generalization of the category of Fourier-type algebras , and can be useful for all researchers interested in this field.
[1-4, 53, 57].
Due to the wide scope of the content, the authors present the book to master and doctoral students of analysis in the field of pure mathematics and all those interested in Fourier analysis.

Graphical Abstract