Carleman¿s Formulas in Complex Analysis : Theory and Applications
Language: English
Published by Springer Netherlands, 1993
- Hardcover
- Used
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Zustand: Sehr gut | Seiten: 320 | Sprache: Englisch | Produktart: Bücher | Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).
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- Title
- Carleman¿s Formulas in Complex Analysis : Theory and Applications
- Author
- L. A. Aizenberg
- Publisher
- Springer Netherlands
- Publication year
- 1993
- Condition
- Sehr gut
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0792321219
- ISBN 13
- 9780792321217
- Seller catalogs
- Bücher
Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).
"Synopsis" may belong to another edition of this title.
Language Notes
Text: English
Original Language: Russian
Original Language: Russian
"About the title" may belong to another edition of this title.
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| Item | 60 to 60 business days | 60 to 60 business days |
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