Fifteen Papers in Complex Analysis ( American Mathematical Society Translations - Series 2 )

Publication series :American Mathematical Society Translations - Series 2

Author: L. A. Aĭzenberg;A. B. Aleksandrov;P. V. Degtyar′  

Publisher: American Mathematical Society‎

Publication year: 1990

E-ISBN: 9781470433574

P-ISBN(Hardback):  9780821831304

Subject: O174.5 complex - variable function

Keyword: 暂无分类

Language: ENG

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Fifteen Papers in Complex Analysis

Description

The papers in this volume range over a variety of topics in complex analysis, including holomorphic and entire functions, integral representations, the local theory of residues, complex manifolds, singularities, and CR structures.

Chapter

Title page

Copyright page

Contents

Russian Contents

Multidimensional analogues of Carleman’s formula with integration over boundary sets of maximal dimension

Blaschke’s condition and the zeros of bounded holomorphic functions

On an algebraic cone in 𝐶⁶ connected with rational curves

The Cauchy-Fantappiè formula on projective space

Application of the Fourier method to the solution of boundary value problems for functions analytic in disk bidomains

On the topology of certain complex homogeneous spaces

CR-mappings of manifolds of codimension 2

Entire functions on 𝐶ⁿ that are quasipolynomials with respect to one of the variables

Defect hyperplanes of holomorphic mappings

On Poincaré duality for elliptic complexes

A remark on Taylor series of harmonic functions

Use of residues to compute the sum of the squares of the Taylor coefficients of a rational function of two variables

On the separation of analytic singularities and the decomposition of holomorphic functions of 𝑛 variables into partial fractions

Some multidimensional estimates of conditional stability in the problem of analytic continuation from a subdomain of the domain of regularity

A counterexample to two problems of Kobayashi

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