عنوان

Carleman's Formulas in Complex Analysis :

(Number (ISBN

9401115966

(Number (ISBN

9789401115964

Number

b594876

Title Proper

Carleman's Formulas in Complex Analysis :

General Material Designation

[Book]

Other Title Information

Theory and Applications

First Statement of Responsibility

by Lev Aizenberg.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1993

Specific Material Designation and Extent of Item

(xx, 299 pages)

Series Title

Mathematics and Its Applications, 244.

Text of Note

I. Carleman Formulas in the Theory of Functions of One Complex Variable and their Generalizations --; I. One-Dimensional Carleman Formulas --; II. Generalization of One-Dimensional Carleman Formulas --; II. Carleman Formulas in Multidimensional Complex Analysis --; III. Integral Representations of Holomorphic Functions of Several Complex Variables and Logarithmic Residues --; IV. Multidimensional Analog of Carleman Formulas with Integration over Boundary Sets of Maximal Dimension --; V. Multidimensional Carleman Formulas for Sets of Smaller Dimension --; VI. Carleman Formulas in Homogeneous Domains --; III. First Applications --; VII. Applications in Complex Analysis --; VIII. Applications in Physics and Signal Processing --; IX. Computing Experiment --; IV. Supplement to the English Edition --; X. Criteria for Analytic Continuation. Harmonic Extension --; XI. Carleman Formulas and Related Problems --; Notes --; Index of Proper Names --; Index of Symbols.

Text of Note

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.

Functions of complex variables.

Mathematics.

Physical Sciences & Mathematics.

Class number

Book number

by Lev Aizenberg.

L A Aĭzenberg

Electronic name

[Book]

Y