Holomorphic Operator Functions of One Variable and Applications Methods from Complex Analysis in Several Variables /

• Main Authors: Gohberg, Israel (Author), Leiterer, Jürgen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Operator Theory: Advances and Applications ; 192
• Subjects: Mathematics.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Operator Theory.

Table of Contents:

• 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.