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Dirichlet series and holomorphic functions in high dimensions / Andreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris

Author
Defant, Andreas, 1953-
Published
Cambridge : Cambridge University Press, 2019.
Physical Description
1 online resource (xxvii, 680 pages) : digital, PDF file(s).
Additional Creators
Garcia, Domingo, 1958 January 7-, Maestre, Manuel, and Sevilla-Peris, Pablo
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Summary
Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.
Subject(s)
ISBN
9781108691611 (ebook)
9781108476713 (hardback)
Note
Title from publisher's bibliographic system (viewed on 23 Jul 2019).
View MARC record | catkey: 34852099