Carleman's Formulas in Complex Analysis
Subtitle: Theory and Applications
By: by Lev Aizenberg
Series: Mathematics and Its Applications -- 244; Mathematics and Its Applications -- 244
Publisher: Springer Netherlands
Published: 1993
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 299
ISBN-13: 9789401046954; 9789401115964
Subjects: Mathematics; Functions of complex variables
Description: 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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