This is a book on holomorphic operator functions of a single
variable and their -
based on methods and technics of Complex analysis of scalar and
matrix functions of several variables. The applications concern:
interpolation, holomorphic families of subspaces and frames,
spectral theory of polynomials with operator coe?cients,
holomorphic equivalence and diagonalization, and
Plemelj-Muschelishvili fact- ization. The book also contains a
theory of Wiener-Hopf integral equations with operator-valued
kernels and a theory of in?nite Toplitz .. matrices with operator
entries. We started to work on these topics long ago when one of us
was a Ph.D. s- dent of the other in Kishinev (now Cisinau)
University. Then our main interests were in problems of
factorization of operator-valued functions and singular in- gral
operators. Working in this area, we realized from the beginning
that di?erent methods and tools from Complex analysis of several
variables and their modi?- tions are very useful in obtaining
results on factorization for matrix and operator functions. We have
in mind di?erent methods and results concerning connections between
local and global properties of holomorphic functions. The ?rst
period was very fruitful and during it we obtained the basic
results presented in this book.
Birkhauser Verlag AG
|Country of origin:
||Operator Theory: Advances and Applications, No. 192
• Jurgen Leiterer
||244 x 170 x 28mm (L x W x T)
||Approx. 444 P.
Science & Mathematics >
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