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

Format:

Book

Author/Creator:

Defant, Andreas, 1953- author.

Garcia, Domingo, 1958 January 7- author.

Maestre, Manuel, author.

Sevilla-Peris, Pablo, author.

Series:

New mathematical monographs ; 37.

New mathematical monographs ; 37

Language:

English

Subjects (All):

Dirichlet series.

Holomorphic functions.

Functional analysis.

Physical Description:

1 online resource (xxvii, 680 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2019.

Language Note:

English

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.

Notes:

Title from publisher's bibliographic system (viewed on 23 Jul 2019).

Includes bibliographical references and index.

ISBN:

9781108755764

1108755763

9781108691611

1108691617