Authors:Israel Gohberg, Seymour Goldberg,
Publisher: Birkhauser
Keywords: theory, operator, basic
Number of Pages: 285
Published: 1981-03
List price: $69.95
ISBN-10: 3764330287
ISBN-13: 9783764330286

This text provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential and integral equations, approximation theory, and numerical analysis. It begins with the geometry of Hilbert space and proceeds to the spectral theory for compact self-adjoint operators with a wide range of applications. Part of the volume is devoted to Banach spaces and operators acting on these spaces. Presented as a natural continuation of linear algebra, this book aims to provide a foundation in operator theory, an essential part of mathematical t

Authors:Israel Gohberg, Heinz Langer,
Publisher: Birkhäuser Basel
Keywords: operator, theory, advances, applications, volume, anniversary, operators, matrices, peter, lancaster, linear
Number of Pages: 360
Published: 2002-03-22
List price: $189.00
ISBN-10: 3764366559
ISBN-13: 9783764366551

Contributed volume in honor of Peter Lancaster, an outstanding expert in operator theory, matrix theory and numerical analysis. The articles have been carefully selected and refereed and cover topics in linear algebra and analysis where Peter Lancaster was very active. The book is complemented by biographical information. This volume is dedicated to Peter Lancaster, an outstanding expert in operator and matrix theory, numerical analysis and applications, on the occasion of his seventieth birthday. The book contains a selection of recent original research papers in linear algebra and analysis,

Authors:Israel Gohberg, Seymour Goldberg,
Publisher: Birkhäuser Boston
Keywords: theory, operator, basic
Number of Pages: 304
Published: 2001-07-27
List price: $109.00
ISBN-10: 0817642625
ISBN-13: 9780817642624

Author: Daniel Alpay; Israel Gohberg
Publisher: Birkhauser
Keywords: linear, applications, advances, operators, systems, theory, operator, space, method, generalizations, state
Number of Pages: 270
Published: 2005-12-07
List price: $169.00
ISBN-10: 3764373709
ISBN-13: 9783764373702

The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations.

Authors:Robert L. Ellis, Israel Gohberg,
Publisher: Birkhäuser Basel
Keywords: theory, advances, applications, operator, operators, systems, convolution, orthogonal
Number of Pages: 248
Published: 2003-01
List price: $189.00
ISBN-10: 3764369299
ISBN-13: 9783764369293

The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M. G. Krein, was a far-reaching generalization of G. Szegö’s result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules ov

Authors:Daniel Alpay, Israel Gohberg,
Publisher: Birkhäuser Basel
Keywords: linear, applications, advances, operators, systems, theory, operator, schur, functions, moment, problems, interpolation
Number of Pages: 302
Published: 2006-04-28
List price: $189.00
ISBN-10: 3764375469
ISBN-13: 9783764375461

Schur analysis originates with a 1917 paper by Schur where he associated to a function analytic and contractive in the open unit disk a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often called reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions such as interpolation problems, moment problems, study of the relationships between the Schur coefficients and the properties of the function, study of underlying operators and others. This volume is almost

Authors:Israel Gohberg, Jürgen Leiterer,
Publisher: Birkhäuser Basel
Keywords: applications, operator, variables, several, theory, advances, analysis, methods, functions, one, variable, holomorphic, complex
Number of Pages: 444
Published: 2009-08-06
List price: $139.00
ISBN-10: 3034601255
ISBN-13: 9783034601252

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 holomo