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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Multidimensional Integral Representations - Problems of Analytic Continuation (Paperback, Softcover reprint of the original 1st ed. 2015)
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Multidimensional Integral Representations - Problems of Analytic Continuation (Paperback, Softcover reprint of the original 1st ed. 2015)
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The monograph is devoted to integral representations for
holomorphic functions in several complex variables, such as
Bochner-Martinelli, Cauchy-Fantappie, 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.
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