Function theory in classical domains : complex potential theory

G.M. Khenkin, A.G. Vitushkin (eds.)

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 up-to-date 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.

「Nielsen BookData」より

This volume of the Encyclopaedia contains four parts each ofwhich being an informative survey of a topic in the field ofseveral complex variables. Thefirst deals with residuetheory and its applications to integrals depending onparameters, combinatorial sums and systems of algebraicequations. The second part contains recent results incomplex potential theory and the third part treats functiontheory in the unit ball covering research of the last twentyyears. The latter part includes an up-to-date account ofresearch related to a list of problems, which was publishedby Rudin in 1980. The last part of the book treats complex analysis in thefuturetube. The future tube is an important concept inmathematical physics, especially in axiomatic quantum fieldtheory, and it is related to Penrose'swork on "the complexgeometry of the real world". Researchers and graduate students in complex analysis andmathematical physics will use thisbook as a reference andas a guide to exciting areas of research.

「Nielsen BookData」より

[目次]

  • I. Multidimensional Residues and Applications.- II. Plurisubharmonic Functions.- III. Function Theory in the Ball.- IV. Complex Analysis in the Future Tube.- Author Index.

「Nielsen BookData」より

[目次]

  • Contents: Multidimensional Residues and Applications by L.A. Ajzenberg, A.K. Tsikh, A.P. Yuzhakov * Plurisubharmonic Functions by A. Sadullaev * Function Theory in the Ball by A.B. Aleksandrov * Complex Analysis in the Future Tube by A.G. Sergeev and V.S. Vladimirov.

「Nielsen BookData」より

この本の情報

書名 Function theory in classical domains : complex potential theory
著作者等 Khenkin, G. M.
Vitushkin, A. G.
Aizenberg L. A.
Aleksandrov A. B.
Gauthier P.M.
King J.R.
Sadullaev A.
Sergeev A.G.
Tsikh A.K.
Vladimirov V. S.
Vitushkin A.G. (Steklov Mathematical Institute Moscow CIS)
書名別名 Several complex variables 2
シリーズ名 Encyclopaedia of mathematical sciences
出版元 Springer-Verlag
刊行年月 c1994
ページ数 260 p.
大きさ 24 cm
ISBN 354018175X
038718175X
9783642633911
NCID BA22002320
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言語 英語
原文言語 ロシア語
出版国 ドイツ
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