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Almost periodic and almost automorph...

N'Guerekata, Gaston M.

Almost periodic and almost automorphic functions in abstract spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Almost periodic and almost automorphic functions in abstract spacesby Gaston M. N'Guerekata.
作者:	N'Guerekata, Gaston M.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xii, 134 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Automorphic functions.
電子資源:	https://doi.org/10.1007/978-3-030-73718-4
ISBN:	9783030737184$q(electronic bk.)

Almost periodic and almost automorphic functions in abstract spaces
N'Guerekata, Gaston M.

Almost periodic and almost automorphic functions in abstract spaces[electronic resource] /by Gaston M. N'Guerekata. - Second edition. - Cham :Springer International Publishing :2021. - xii, 134 p. :ill., digital ;24 cm.

This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001. This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated. As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.

ISBN: 9783030737184$q(electronic bk.)

Standard No.: 10.1007/978-3-030-73718-4doiSubjects--Topical Terms:

278153
Automorphic functions.

LC Class. No.: QA351 / .N2 2021

Dewey Class. No.: 515.9

Almost periodic and almost automorphic functions in abstract spaces
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520 $a This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. Since the publication of Almost automorphic and almost periodic functions in abstract spaces (Kluwer Academic/Plenum, 2001), there has been a surge of interest in the theory of almost automorphic functions and applications to evolution equations. Several generalizations have since been introduced in the literature, including the study of almost automorphic sequences, and the interplay between almost periodicity and almost automorphic has been exposed for the first time in light of operator theory, complex variable functions and harmonic analysis methods. As such, the time has come for a second edition to this work, which was one of the most cited books of the year 2001. This new edition clarifies and improves upon earlier materials, includes many relevant contributions and references in new and generalized concepts and methods, and answers the longtime open problem, "What is the number of almost automorphic functions that are not almost periodic in the sense of Bohr?" Open problems in non-locally convex valued almost periodic and almost automorphic functions are also indicated. As in the first edition, materials are presented in a simplified and rigorous way. Each chapter is concluded with bibliographical notes showing the original sources of the results and further reading.
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