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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Carleman's Formulas in Complex Analysis
• Subtitle: Theory and Applications
• Author: L.A. Aizenberg
• Language: English
• Binding: Hardback
• Number of pages: 299
• EAN: 9780792321217
• ISBN: 0792321219
• ID: 01393965
• Publisher: Springer Netherlands
• Weight: 643 g
• Dimensions: 243 × 158 × 23 mm
• Published: 1993

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