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V detstve ya lyubil tri veshchi: smotret' na sebya v zerkalo; predstavlyat', kakimi byli vzroslye, kogda byli malen'kimi; i lomat' igrushki. Mne vsegda khotelos' znat': Kak ETO ustroeno?. Vot i kniga u menya o tom, kak ustroena interesnaya istoriya? Chto tam u nee vnutri? Davayte-ka razberem ee na chasti i posmotrim. Kniga otvechaet na vopros KAK? Eto ne uchebnik. Zdes' net sekretov. V kazhdom dele est' svoi retsepty. U plotnika - svoi. U povara - svoi. U pilota - svoi. U sochinitelya tozhe est' svoi retsepty. Podchas, eti retsepty khorosho izvestny. Vsye, chto ya sdelal, tak eto sobral ikh...

We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space"

From the reviews: ..". 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; ...for the appropriate reader, they will be valuable sources of information about modern complex analysis." Bulletin of the Am.Math.Society, 1991
..". This remarkable book has a helpfully informal style, abundant motivation, outlined proofs followed by precise...

This volume of the Encyclopaedia contains threecontributions in the field of complex analysis. The topicstreated are mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, andstringtheory. The latter two have strong links with quantumfield theory and the theory of general relativity. In fact, the mathematical results described inthe book arose fromthe need of physicists to find a sound mathematical basisfor their theories. The authors present their material inthe formof surveys which provide up-to-date accounts ofcurrent research. The book will be...

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...