Theorie Der Steinschen Raume H. Grauert

ISBN: 9783642666506

Published: November 12th 2011

Paperback

272 pages


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Theorie Der Steinschen Raume  by  H. Grauert

Theorie Der Steinschen Raume by H. Grauert
November 12th 2011 | Paperback | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 272 pages | ISBN: 9783642666506 | 5.33 Mb

1. The classical theorem of Mittag-Leffler was generalized to the case of several complex variables by Cousin in 1895. In its one variable version this says that, if one prescribes the principal parts of a merom orphic function on a domain in theMore1. The classical theorem of Mittag-Leffler was generalized to the case of several complex variables by Cousin in 1895. In its one variable version this says that, if one prescribes the principal parts of a merom orphic function on a domain in the complex plane e, then there exists a meromorphic function defined on that domain having exactly those principal parts.

Cousin and subsequent authors could only prove the analogous theorem in several variables for certain types of domains (e. g. product domains where each factor is a domain in the complex plane). In fact it turned out that this problem can not be solved on an arbitrary domain in em, m 2. The best known example for this is a notched bicylinder in 2 2 e . This is obtained by removing the set { (z, z ) E e 11 z I !, I z 1 !}, from 1 2 1 2 2 the unit bicylinder,: ={(z, z ) E e llz1



Enter the sum





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