Polyanalytic Type Function Spaces
This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Ausgabe: | 1st ed. 2024. |
| Schriftenreihe: | Operator Theory: Advances and Applications,
305 |
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| Online-Zugang: | https://doi.org/10.1007/978-3-031-76181-2 |
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| 100 | 1 | |a Vasilevski, Nikolai. |e author. |0 (orcid)0000-0002-7159-2889 |1 https://orcid.org/0000-0002-7159-2889 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Polyanalytic Type Function Spaces |h [electronic resource] / |c by Nikolai Vasilevski. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a 1 online resource (XXX, 174 p.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 305 | |
| 505 | 0 | |a Foreword -- Preface -- Introduction -- I Spaces of polyanalytic type in one complex variable -- 1 Extended Fock-space construction approach -- 2 Complex plane C case -- 3 Unit disk D case -- 4 Upper half-plane Π case -- 5 Basis oriented approach -- 6 Approach based on pure isometries -- II Spaces of polyanalytic type in several complex variables -- 7 Multi-operator extended Fock-space construction -- 8 The Cn case -- 9 The unit ball Bn case -- 10 Hilbert spaces with generalized Gaussian measure on C2 -- 11 The Siegel domain case -- Bibliography -- Index. | |
| 520 | |a This book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of view, it considers the (Lie)-algebraic part of the theory. Several generalizations are offered. The presented theory has many applications, including to quantum physics. An extensive introduction to the topic is provided, making the book accessible to specialists and newcomers alike. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031761805 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031761829 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031761836 |
| 830 | 0 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 305 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-76181-2 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||