Carleman's Formulas in Complex Analysis : Theory and Applications /
This monograph is the first to give 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. Applications are con...
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1993.
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| Series: | Mathematics and its applications ;
244. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This monograph is the first to give 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. Applications are considered to problems of analytic continuation in the theory of functions, and, in a broader context, to problems arising in theoretical and mathematical physics, and to the extrapolation and interpolation of signals having a finite Fourier spectrum. The volume also contains a review of the latest results, including those obtained by computer simulation on the elimination of noise in a given frequency band. For mathematicians and theoretical physicists whose work involves complex analysis, and those interested in signal processing. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xx, 299 pages) |
| ISBN: | 9789401115964 (electronic bk.) 9401115966 (electronic bk.) |