Science/Engineering Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables (3034601255)

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Israel Gohberg, Jürgen Leiterer, "Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables"

This is a book on holomorphic operator functions of a single variable and applications, which is focused on the relations between local and global theories. It is based on methods and technics of complex analysis of several variables.

The first part of the theory starts with a straightforward generalization of some results from the basics of analysis of scalar functions of one complex variable. In the second part, which is the main part of the theory, results are obtained by methods and tools adapted from complex analysis of functions of several variables. We have in mind the theory of holomorphic cocycles (fiber bundles) with values in infinite-dimensional non-commutative groups. As a rule, these results do not appear in traditional complex analysis of one variable, not even for matrix valued cocycles. The third part consists of applications to operator theory. Here applications are presented for holomorphic families of subspaces and Plemelj-Muschelishvili factorization. The fourth part presents a generalization of the theory of cocycles to cocycles with restrictions. This part contains also applications to interpolation problems, to the problem of holomorphic equivalence and diagonalization.

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	Study Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics) R.M. Range "Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics)"Springer-Verlag Berlin and Heidelberg GmbH & Co. K \| English \| 1986-12-31 \| ISBN: 354096259X \| 386 pages \| DJVU ...
	Holomorphic Functions of Several Variables: An Introduction to the Fundamental Theory Ludger Kaup, Burchard Kaup "Holomorphic Functions of Several Variables: An Introduction to the Fundamental Theory"Walter de Gruyter \| English \| 1983-12 \| ISBN: 3110041502 \| 350 pages \| PDF \| 7,4 MBTo start download click HERE:No another mir ...
	Introduction to Complex Analysis: Functions of Several Variables : Part II B. V. Shabat, "Introduction to Complex Analysis: Functions of Several Variables : Part II" American Mathematical Society \| 1992 \| ISBN: 0821846116 \| 370 pages \| Djvu \| 2,1 MB Since the 1960s, there has been a flowering in higher-dimension ...
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