| Dirichlet Series and Holomorphic Functions in High Dimensions Contributor(s): Defant, Andreas (Author), García, Domingo (Author), Maestre, Manuel (Author) |
|
 |
ISBN: 1108476716 ISBN-13: 9781108476713 Publisher: Cambridge University Press OUR PRICE: $205.20 Product Type: Hardcover - Other Formats Published: September 2019 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Number Theory |
| Dewey: 512.7 |
| LCCN: 2019008024 |
| Series: New Mathematical Monographs |
| Physical Information: 1.71" H x 6.4" W x 9.27" (2.50 lbs) 706 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
Contributor Bio(s): Sevilla-Peris, Pablo: - Pablo Sevilla-Peris is Associate Professor of Mathematics at Universitat Politècnica de València, Spain.Garcia, Domingo: - Domingo García is Professor of Mathematics at Universitat de València, Spain.Maestre, Manuel: - Manuel Maestre is Full Professor of Mathematics at Universitat de València, Spain.Defant, Andreas: - Andreas Defant is Professor of Mathematics at Carl V. Ossietzky Universität Oldenburg, Germany. |