Download the Free Fishpond App!
Download on the App Store

Android App on Google play

Already own it?

Sell Yours
Home » Books » Science » Mathematics » Mathematical Analysis

Holomorphic Operator Functions of One Variable and Applications

Methods from Complex Analysis in Several Variables

By Prof. Israel Gohberg, Jurgen Leiterer

$255  
Price includes NZ wide delivery!
Ships from Europe
Rating:
 
Register or sign-in to rate and get recommendations.
Format: Hardcover, 422 pages
Published In: Switzerland, 01 October 2009
This is a book on holomorphic operator functions of a single variable and their - plications,whichisfocussedontherelationsbetweenlocalandglobaltheories.Itis 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.

Table of Contents

Elementary properties of holomorphic functions.- Solution of and applications.- Splitting and factorization with respect to a contour.- The Rouche 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.

EAN: 9783034601252
ISBN: 3034601255
Publisher: Birkhauser Basel
Dimensions: 23.11 x 17.02 x 2.79 centimetres (0.95 kg)
Age Range: 15+ years
Tell a friend

Their Email:

Sell Yours

Already own this item?
Sell Yours and earn some cash. It's fast and free to list! (Learn More.)

Review this Product

BAD GOOD
 

Related Searches

 

Webmasters, Bloggers & Website Owners

You can earn a 5% commission by selling Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep!

 

Authors/Publishers

Are you the Author/Publisher? Improve sales by submitting additional information on this title.

 

This item ships from and is sold by Fishpond World Ltd.