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Integral Representations And Residues In Multidimensional Complex Analysis


Author : Lev A. Ajzenberg
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

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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.

Integral Representations And Residues In Multidimensional Complex Analysis


Author : Lev Abramovich Aĭzenberg
language : en
Publisher:
Release Date : 1983

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Multidimensional Integral Representations


Author : Alexander Kytmanov
language : en
Publisher: Springer
Release Date : 2015-09-09

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The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. In contrast to the well-known Hartogs-Bochner theorem, this book investigates functions with the one-dimensional property of holomorphic extension along complex lines, and includes the problems of receiving multidimensional boundary analogs of the Morera theorem. This book is a valuable resource for specialists in complex analysis, theoretical physics, as well as graduate and postgraduate students with an understanding of standard university courses in complex, real and functional analysis, as well as algebra and geometry.

Integral Representation And The Computation Of Combinatorial Sums


Author : G. P. Egorychev
language : en
Publisher: American Mathematical Soc.
Release Date : 1984-12-31

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This monograph should be of interest to a broad spectrum of readers: specialists in discrete and continuous mathematics, physicists, engineers, and others interested in computing sums and applying complex analysis in discrete mathematics. It contains investigations on the problem of finding integral representations for and computing finite and infinite sums (generating functions); these arise in practice in combinatorial analysis, the theory of algorithms and programming on a computer, probability theory, group theory, and function theory, as well as in physics and other areas of knowledge. A general approach is presented for computing sums and other expressions in closed form by reducing them to one-dimensional and multiple integrals, most often to contour integrals.

Embeddings And Immersions


Author : Masahisa Adachi
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-01-01

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This work covers fundamental techniques in the theory of C (alt 133) embeddings and C (alt 133) - immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on C (alt 133)- embeddings and C (alt 133) manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of C (alt 133) embeddings by isotopy and is extended by Gromov's convex integration theory. Finally, as an application of Gromov's work, Adachi introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is Adachi's work with Landweber on the integrability of almost complex structures on open manifolds.

Differentiable Operators And Nonlinear Equations


Author : Victor Khatskevich
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-12-01

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Notices Of The American Mathematical Society


Author : American Mathematical Society
language : en
Publisher:
Release Date : 1990

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