Dirichlet Series and Holomorphic Functions in High Dimensions Hardback
by Andreas (Carl V. Ossietzky Universitat Oldenburg, Germany) Defant, Domingo (Universitat de Valencia, Spain) Garcia, Manuel (Universitat de Valencia, Spain) Maestre, Pablo Sevilla-Peris
Part of the New Mathematical Monographs series
Hardback
Description
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.
Information
-
Out of stock
- Format:Hardback
- Pages:706 pages, Worked examples or Exercises; 3 Halftones, black and white
- Publisher:Cambridge University Press
- Publication Date:08/08/2019
- Category:
- ISBN:9781108476713
Information
-
Out of stock
- Format:Hardback
- Pages:706 pages, Worked examples or Exercises; 3 Halftones, black and white
- Publisher:Cambridge University Press
- Publication Date:08/08/2019
- Category:
- ISBN:9781108476713
