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Integral representations and residues in multidimensional complex analysis / L. A. Aizenberg, A. P. Yuzhakov ; [traduit par H.H. McFaden]

Auteur principal : Aizenberg, Lev Abramovich, 1937-, AuteurCo-auteur : Yuzhakov, Alexander Petrovich, AuteurAuteur secondaire : McFaden, Harold Hogan, TraducteurType de document : MonographieCollection : Translations of mathematical monographs, 58Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1983Description : 1 vol. (X-283 p.) ; 24 cmISBN : 9780821815502.ISSN : 0065-9282.Bibliographie : Bibliogr. p. 259-277. Index.Sujet MSC : 32A25, Holomorphic functions of several complex variables, Integral representations; canonical kernels (Szegő, Bergman, etc.)
32A27, Holomorphic functions of several complex variables, Residues for several complex variables
32Txx, Several complex variables and analytic spaces - Pseudoconvex domains
32A30, Holomorphic functions of several complex variables, Other generalizations of function theory of one complex variable
32C30, Several complex variables and analytic spaces - Analytic spaces, Integration on analytic sets and spaces, currents
En-ligne : Zentralblatt | MathSciNet | AMS
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Bibliogr. p. 259-277. Index

This book deals with integral representations of holomorphic functions of several complex variables, the multidimensional logarithmic residue, and the theory of multidimensional residues. Applications are given to implicit function theory, systems of nonlinear equations, computation of the multiplicity of a zero of a mapping, and computation of combinatorial sums in closed form. Certain applications in multidimensional complex analysis are considered.

The monograph is intended for specialists in theoretical and applied mathematics and theoretical physics, and for postgraduate and graduate students interested in multidimensional complex analysis or its applications. (source : AMS)

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