Vitushkin, A. G. (Anatoliĭ Georgievich)
Overview
Works:  21 works in 87 publications in 2 languages and 1,186 library holdings 

Roles:  Author, Editor 
Classifications:  QA331, 515.94 
Publication Timeline
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Most widely held works about
A. G Vitushkin
 Analytic and geometric issues of complex analysis : collected papers dedicated to the 70th birthday of academician Anatolii Georgievich Vitushkin by A. A Gonchar A. A Gonchar( Book )
Most widely held works by
A. G Vitushkin
Several complex variables I : introduction to complex analysis
by
E. M Chirka(
Book
)
23 editions published between 1989 and 1997 in English and held by 395 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
23 editions published between 1989 and 1997 in English and held by 395 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
Several complex variables II : function theory in classical domains : complex potential theory
by
G. M Khenkin(
Book
)
15 editions published between 1993 and 1994 in English and Undetermined and held by 268 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
15 editions published between 1993 and 1994 in English and Undetermined and held by 268 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
Theory of the transmission and processing of information
by
A. G Vitushkin(
Book
)
10 editions published in 1961 in English and held by 230 WorldCat member libraries worldwide
10 editions published in 1961 in English and held by 230 WorldCat member libraries worldwide
On representation of functions by means of superpositions and related topics : lectures
by
A. G Vitushkin(
Book
)
5 editions published between 1977 and 1978 in English and held by 98 WorldCat member libraries worldwide
5 editions published between 1977 and 1978 in English and held by 98 WorldCat member libraries worldwide
Analytic and geometric issues of complex analysis : collected papers dedicated to the 70th birthday of academician Anatolii Georgievich Vitushkin
by A. A Gonchar(
Book
)
5 editions published in 2001 in English and held by 69 WorldCat member libraries worldwide
5 editions published in 2001 in English and held by 69 WorldCat member libraries worldwide
Variat︠s︡ii mnozhestv i funkt︠s︡iĭ
by
L. D Ivanov(
Book
)
2 editions published in 1975 in Russian and held by 25 WorldCat member libraries worldwide
2 editions published in 1975 in Russian and held by 25 WorldCat member libraries worldwide
Several complex variables
by
Hans Grauert(
Book
)
6 editions published between 1989 and 1993 in English and held by 25 WorldCat member libraries worldwide
Several Complex Variables/A.G.Vitushkin, ed.  v. 2
6 editions published between 1989 and 1993 in English and held by 25 WorldCat member libraries worldwide
Several Complex Variables/A.G.Vitushkin, ed.  v. 2
Ot︠s︡enka slozhnosti zadachi tabulirovanii︠a︡
by
A. G Vitushkin(
Book
)
2 editions published in 1959 in Russian and held by 24 WorldCat member libraries worldwide
2 editions published in 1959 in Russian and held by 24 WorldCat member libraries worldwide
O mnogomernykh variat︠s︡ii︠a︡kh
by
A. G Vitushkin(
Book
)
3 editions published in 1955 in Russian and held by 17 WorldCat member libraries worldwide
3 editions published in 1955 in Russian and held by 17 WorldCat member libraries worldwide
Several complex variables VI : complex manifolds
by
Reinhold Remmert(
Book
)
2 editions published in 1990 in Undetermined and English and held by 10 WorldCat member libraries worldwide
2 editions published in 1990 in Undetermined and English and held by 10 WorldCat member libraries worldwide
Issledovanii︠a︡ po kompleksnomu analizu
(
Book
)
1 edition published in 1987 in Russian and held by 6 WorldCat member libraries worldwide
1 edition published in 1987 in Russian and held by 6 WorldCat member libraries worldwide
O mnogomernyh variaciâh
by
A. G Vitushkin(
Book
)
3 editions published in 1955 in Russian and held by 4 WorldCat member libraries worldwide
3 editions published in 1955 in Russian and held by 4 WorldCat member libraries worldwide
The absolute eentropy of metric spaces
by
A. G Vitushkin(
Book
)
1 edition published in 1961 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 3 WorldCat member libraries worldwide
Analiticheskie i geometricheskie voprosy kompleksnogo analiza : sbornik stateĭ : k 70letii︠u︡ so dni︠a︡ rozhdenii︠a︡ akademika Anatolii︠a︡ Georgevicha Vitushkina / [redkollegii︠a︡ ... A.A. Gonchar (glavnyĭ redaktor), N.G. Kruzhilin, E.M. Chirka]
(
Book
)
1 edition published in 2001 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 2001 in Russian and held by 2 WorldCat member libraries worldwide
Kompleksnyi analizmnogie peremennye1
(
Book
)
1 edition published in 1985 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in Russian and held by 2 WorldCat member libraries worldwide
O mnogomernych variacijach
by
A. G Vitushkin(
Book
)
1 edition published in 1955 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1955 in Undetermined and held by 2 WorldCat member libraries worldwide
Several complex variables
(
Book
)
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Undetermined and held by 1 WorldCat member library worldwide
Several complex variables IV : algebraic aspects of complex analysis
by
S. G Gindikin(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library 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
1 edition published in 1990 in English and held by 1 WorldCat member library 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 V : complex analysis in partial differential equations and mathematical physics
by
G. M Khenkin(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library 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
1 edition published in 1993 in English and held by 1 WorldCat member library 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
Analitičeskie i geometričeskie voprosy kompleksnogo analiza : k 70letiû so dnâ roždeniâ akademika Anatoliâ Georgieviča Vituškina
(
Book
)
1 edition published in 2001 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 2001 in Russian and held by 1 WorldCat member library worldwide
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Related Identities
 Khenkin, G. M. Compiler Author Editor
 International Mathematical Union
 Gindikin, Semen G.
 Khenkin, Guennadi Markovitch (1942 ...). Editor
 Booth, Andrew Donald (1918 ...). Editor
 Ivanov, L. D. (Leonid Dmitrievich) 1938 Author
 Feinstein, Ruth
 Chirka, E. M. Author
 Remmert, Reinhold
 Dolbeault, P.
Associated Subjects
Algebraic topology Analytic functions Calculus of variations Complex manifolds Differential equations, Partial Functional analysis Functions Functions, Continuous Functions of complex variables Functions of several complex variables Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Mathematical analysis Mathematical physics Mathematics Potential theory (Mathematics) Set theory Sheaf theory
Alternative Names
Vitushkin, A. G.
Vitushkin, A. G. 1931
Vitushkin, Anatoliĭ Georgievich
Vitushkin, Anatolii Georgievich 1931
Vitushkin, Anatolij Georgievič
Vituškin, A. G.
Vituškin, A. G. 1931
Vituškin, Anatolij Georgevič
Vituškin, Anatolij Georgievič 1931
Витушкин, А. Г
Витушкин, А. Г. (Анатолий Георгиевич)
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