Theory of Polyanalytic functions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915217506566144 |
|---|---|
| author | Daghighi, Abtin |
| author_facet | Daghighi, Abtin |
| contents | Brief Description: The book provides a unique highly self-contained text introducing the reader to the classical and modern theory of polyanalytic functions and their generalizations. This is a subbranch of complex analysis of several variables, in particular polyanalytic functions where introduced as a natural generalization of holomorphic functions. The book includes a solid treatment of the most important well-known results from the inception of the subspecialty, but also covers a wide variety of generalizations and recent developments which have arisen since the latest monograph on the subject was published. A careful selection has been made of topics and results to include, in order to provide the reader with a classic repertoire and a modern overview. The style and presentation is old-school and rigorous and the author does not shy away from presenting complete proofs also for important theorems which require involved background for a modern demonstration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21909 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Theory of Polyanalytic functions Daghighi, Abtin Complex Variables 32A30, 32W50, 30G30, 35J30, 35G05 Brief Description: The book provides a unique highly self-contained text introducing the reader to the classical and modern theory of polyanalytic functions and their generalizations. This is a subbranch of complex analysis of several variables, in particular polyanalytic functions where introduced as a natural generalization of holomorphic functions. The book includes a solid treatment of the most important well-known results from the inception of the subspecialty, but also covers a wide variety of generalizations and recent developments which have arisen since the latest monograph on the subject was published. A careful selection has been made of topics and results to include, in order to provide the reader with a classic repertoire and a modern overview. The style and presentation is old-school and rigorous and the author does not shy away from presenting complete proofs also for important theorems which require involved background for a modern demonstration. |
| title | Theory of Polyanalytic functions |
| topic | Complex Variables 32A30, 32W50, 30G30, 35J30, 35G05 |
| url | https://arxiv.org/abs/2503.21909 |