Smoothing methods of Cousin type and their applications to global factorizations of generalized analytic functions in several complex variables (Q1205497)
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scientific article; zbMATH DE number 147387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smoothing methods of Cousin type and their applications to global factorizations of generalized analytic functions in several complex variables |
scientific article; zbMATH DE number 147387 |
Statements
Smoothing methods of Cousin type and their applications to global factorizations of generalized analytic functions in several complex variables (English)
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1 April 1993
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The author considers the additive Cousin problem in the restricted sense for a general linear differential equation \(L[u]=0\), i.e. the problem to construct global solutions \(u\) with given singularities. It is shown that a global solution of the inhomogeneous differential equation \(L[\lambda]=h\) can be obtained from local solutions by a smoothing method. Then global factorizations for generalized holomorphic functions in several variables are produced.
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global solutions with given singularities
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additive Cousin problem
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smoothing method
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global factorizations
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generalized holomorphic functions in several variables
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0.7145225405693054
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0.7102079391479492
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