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Item Details
| Title:
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CARLEMAN'S FORMULAS IN COMPLEX ANALYSIS
THEORY AND APPLICATIONS |
| By: |
L. A. Aizenberg |
| Format: |
Hardback |
| List price:
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£82.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0792321219 |
| ISBN 13: |
9780792321217 |
| Publisher: |
SPRINGER |
| Pub. date: |
31 January, 1993 |
| Edition: |
1993 ed. |
| Series: |
Mathematics and Its Applications 244 |
| Pages: |
299 |
| Description: |
This monograph gives a systematic presentation of the Carleman formulas. These enable values of functions holomorphic to a domain to be recovered from their values over a part of the boundary of the domain. Various generalizations of these formulas are considered. |
| Synopsis: |
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). |
| Illustrations: |
XX, 299 p. |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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