Khenkin, G. M.Overview
Most widely held works by
G. M Khenkin
Several complex variables IV : algebraic aspects of complex analysis
by S. G Gindikin
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Book
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15 editions published between 1989 and 1990 in English and held by 335 WorldCat member libraries worldwide This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article
Several complex variables III : geometric function theory
by G. M Khenkin
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Book
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14 editions published between 1988 and 1989 in English and held by 313 WorldCat member libraries worldwide The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the multidimensional case and various applications. The third contribution is devoted to invariant metrics and volumes and their applications in problems of function theory of several variables. The fourth contribution touches upon various results concerning the rigidity of holomorphic mappings of complex spaces beginnning with classical Liouville's and Picard's theorems. Contribution five presents results concerning extension of holomorphic mappings to the boundaries of domains, and results about correspondence of boundaries and equivalence of domains with respect to biholomorphic mappings. Contribution six dwells on the problem of biholomorphic equivalence of manifolds in this differential geometric aspect. The last contribution reviews applications of multidimensional complex geometry in modern physical theories  supergravitation and supergauge fields. This volume will be useful to complex analysts and physicists. It is rounded off by an extensive bibliography
Several complex variables II : function theory in classical domains : complex potential theory
by G. M Khenkin
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Book
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13 editions published between 1993 and 1994 in English and held by 234 WorldCat member libraries worldwide This volume of the Encyclopaedia contains four parts each of which being an informative survey of a topic in the field of several complex variables. Thefirst deals with residue theory and its applications to integrals depending on parameters, combinatorial sums and systems of algebraic equations. The second part contains recent results in complex potential theory and the third part treats function theory in the unit ball covering research of the last twenty years. The latter part includes an uptodate account of research related to a list of problems, which was published by Rudin in 1980. The last part of the book treats complex analysis in the futuretube. The future tube is an important concept in mathematical physics, especially in axiomatic quantum field theory, and it is related to Penrose'swork on "the complex geometry of the real world". Researchers and graduate students in complex analysis and mathematical physics will use thisbook as a reference and as a guide to exciting areas of research
Several complex variables V : complex analysis in partial differential equations and mathematical physics
by G. M Khenkin
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Book
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12 editions published in 1993 in English and held by 217 WorldCat member libraries worldwide This volume of the Encyclopaedia contains three contributions in the field of complex analysis. The topics treated are mean periodicity and convolutionequations, YangMills fields and the RadonPenrose transform, and stringtheory. The latter two have strong links with quantum field theory and the theory of general relativity. In fact, the mathematical results described inthe book arose from the need of physicists to find a sound mathematical basis for their theories. The authors present their material in the formof surveys which provide uptodate accounts of current research. The book will be immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theoryand general relativity
Theory of functions on complex manifolds
by Gennadi Henkin
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Book
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14 editions published between 1983 and 1984 in English and German and held by 70 WorldCat member libraries worldwide
Several complex variables
by Hans Grauert
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Book
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10 editions published between 1990 and 1993 in English and held by 27 WorldCat member libraries worldwide This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. It covers topics like seminormal complex spaces, cohomology, the Levi problem, qconvexity and qconcavity. It is the first survey of this kind. The authors are internationally known outstanding experts who developed substantial parts of the field. The book contains seven chapters and an introduction written by Remmert, describing the history of the subject. The book will be very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry. Another group of readers will consist of mathematical physicists who apply results from these fields
Several complex variables I : introduction to complex analysis
by E. M Chirka
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2 editions published in 1997 in English and held by 19 WorldCat member libraries worldwide From the reviews of the first printing, published as Volume 7 of the Encyclopaedia of Mathematical Sciences: " ... In this volume, we find an introductory essay entitled "Remarkable Facts of Complex Analysis" by Vitushkin ... This is followed by articles by G.M. Khenkin on integral formulas in complex analysis, by E.M. Chirka on complex analytic sets, by Vitushkin on the geometry of hypersurfaces and by P. Dolbeault, on the theory of residues in several variables. ... In sum, the volume under review is the first quarter of an important work that surveys an active branch of modern mathematics. Some of the individual articles are reminiscent in style of the early volumes of the first Ergebnisse series and will probably prove to be equally useful as a reference; all contain substantial lists of references." Bulletin of the American Mathematical Society, 1991 " ... This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise references, and an extensive bibliography; it will be an invaluable reference and a companion to modern courses on several complex variables." ZAMP, Zeitschrift fr Angewandte Mathematik und Physik 1990 " ... comprehensive and authoritative survey of results in contemporary mathematics, indications of the directions of its future development, the material presented around pivotal facts whose understanding enables one to have a general view of the area, no proofs or only the outline of proofs, and extensive bibliographies. ... Browsing through this collection of surveys gives one a feeling of awe and admiration. Truly, complex analysis is vigorously alive. ... They are highly recommended to everyone with an interest in complex analysis." Medelingen van het wiskundig genootshap, 1992
Mnogomernyĭ kompleksnyĭ analiz
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Book
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2 editions published in 1985 in Russian and held by 9 WorldCat member libraries worldwide
AndreottiGrauert theory by integral formulas
by Gennadi Henkin
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Book
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3 editions published in 1988 in English and held by 6 WorldCat member libraries worldwide
Kompleksnyi analizmnogie peremennye5
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Book
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1 edition published in 1989 in Russian and held by 2 WorldCat member libraries worldwide
Kompleksnyĭ analizmnogie peremennye4
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Book
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1 edition published in 1986 in Russian and held by 2 WorldCat member libraries worldwide
Kompleksnyĭ analizmnogie peremennye3
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Book
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1 edition published in 1986 in Russian and held by 2 WorldCat member libraries worldwide
Several complex variables
(
Book
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1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Several complex variables
(
Book
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in English and held by 1 WorldCat member library worldwide
Several complex variables and holomorphic partial differential equations fonctions de plusieurs variables complexes et équations aux dérivées partielles holomorphes
by Jean Leray
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Book
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1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Several complex variables
(
Book
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1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Several complex variables
(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Several complex variables
(
Book
)
in English and held by 1 WorldCat member library worldwide
Several complex variables
(
Book
)
in English and held by 1 WorldCat member library worldwide
Several complex variables
(
Book
)
in English and held by 1 WorldCat member library worldwide more
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Associated Subjects
Algebraic topology CauchyRiemann equations Complex manifolds Differential equations, Partial Fluid mechanics Functions of complex variables Functions of several complex variables Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Holomorphic functions Integral representations Mathematical physics Mathematics Potential theory (Mathematics) Sheaf theory

Alternative Names
Khenkin, Gennadiĭ Markovich
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