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Dirichlet Series and Holomorphic Functions in High Dimensions

Dirichlet Series and Holomorphic Functions in High Dimensions

Andreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris

Cambridge University Press
Publication date : 2019-08-08

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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.

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About the book

Author

Andreas Defant , Domingo García , Manuel Maestre , Pablo Sevilla-Peris

Imprint

Cambridge University Press

Collection

n.c

Publication date

2019-08-08

Pages

n.c

Print ISBN

9781108476713

Language

English

Ebook informations

EAN PDF

9781108755764

Price

£185.68

Copy count 0

Print count 0

File size 4628 Ko

Informations accessibility

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About author(s)

Andreas Defant

Domingo García

Manuel Maestre

Pablo Sevilla-Peris

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