Holomorphic Operator Functions of One Variable and Applications [electronic resource] : Methods from Complex Analysis in Several Variables /
Gohberg, Israel.author.
Leiterer, Jürgen.author.
Deals with holomorphic operator functions of a single variable and applications. This book offers a generalization of some results from the basics of analysis of scalar functions of one complex variable. It presents application for holomorphic families of subspaces and Plemelj-Muschelishvili factorization.
Description based upon print version of record.
Deals with holomorphic operator functions of a single variable and applications. This book offers a generalization of some results from the basics of analysis of scalar functions of one complex variable. It presents application for holomorphic families of subspaces and Plemelj-Muschelishvili factorization.
Includes bibliographical references and index.
Elementary properties of holomorphic functions -- Solution of and applications -- Splitting and factorization with respect to a contour -- The Rouché theorem for operator functions -- Multiplicative cocycles ( -cocycles) -- Families of subspaces -- Plemelj-Muschelishvili factorization -- Wiener-Hopf operators, Toeplitz operators and factorization -- Multiplicative cocycles with restrictions ( -cocycles) -- Generalized interpolation problems -- Holomorphic equivalence, linearization and diagonalization.
Functions of complex variables.
Operator theory.
Functions of a Complex Variable.
Operator Theory.

Operator theory