| 000 | 02404nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781108691611 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160154.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 180413s2019||||enk o ||1 0|eng|d | ||
| 020 | _a9781108691611 (ebook) | ||
| 020 | _z9781108476713 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA295 _b.D4585 2019 |
| 082 | 0 | 0 |
_a512.7 _223 |
| 100 | 1 |
_aDefant, Andreas, _d1953- _eauthor. |
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| 245 | 1 | 0 |
_aDirichlet series and holomorphic functions in high dimensions / _cAndreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2019. |
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| 300 |
_a1 online resource (xxvii, 680 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aNew mathematical monographs ; _v37 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 23 Jul 2019). | ||
| 520 | _aOver 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. | ||
| 650 | 0 | _aDirichlet series. | |
| 650 | 0 | _aHolomorphic functions. | |
| 650 | 0 | _aFunctional analysis. | |
| 700 | 1 |
_aGarcia, Domingo, _d1958 January 7- _eauthor. |
|
| 700 | 1 |
_aMaestre, Manuel, _eauthor. |
|
| 700 | 1 |
_aSevilla-Peris, Pablo, _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781108476713 |
| 830 | 0 |
_aNew mathematical monographs ; _v37. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781108691611 |
| 999 |
_c514348 _d514346 |
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