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Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften)

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Description: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 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 llz1We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften). To get started finding Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1475743599

Description: 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 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 llz1We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften). To get started finding Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften)

Theory of Stein Spaces (Grundlehren der mathematischen Wissenschaften)

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