Author: Colin Bennett
Publisher: Academic Press
ISBN: 0080874487
Category : Mathematics
Languages : en
Pages : 489
Book Description
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Interpolation of Operators
Interpolation of Linear Operators
Author: S. G. Krein
Publisher: American Mathematical Soc.
ISBN: 0821831763
Category : Mathematics
Languages : en
Pages : 390
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821831763
Category : Mathematics
Languages : en
Pages : 390
Book Description
Interpolation Theory, Function Spaces, Differential Operators
Author: Hans Triebel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 540
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 540
Book Description
Interpolation and Sampling in Spaces of Analytic Functions
Author: Kristian Seip
Publisher: American Mathematical Soc.
ISBN: 0821835548
Category : Mathematics
Languages : en
Pages : 153
Book Description
Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an
Publisher: American Mathematical Soc.
ISBN: 0821835548
Category : Mathematics
Languages : en
Pages : 153
Book Description
Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an
Interpolation of operators and singular integrals
On Interpolation of Operators
Author: Barbara Gail Frazier
Publisher:
ISBN:
Category : Operator equations
Languages : en
Pages : 36
Book Description
Publisher:
ISBN:
Category : Operator equations
Languages : en
Pages : 36
Book Description
Pick Interpolation and Hilbert Function Spaces
Author: Jim Agler
Publisher: American Mathematical Society
ISBN: 1470468557
Category : Mathematics
Languages : en
Pages : 330
Book Description
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Publisher: American Mathematical Society
ISBN: 1470468557
Category : Mathematics
Languages : en
Pages : 330
Book Description
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Operator Theory and Interpolation
Author: Hari Bercovic
Publisher: Birkhäuser
ISBN: 3034884222
Category : Mathematics
Languages : en
Pages : 311
Book Description
A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.
Publisher: Birkhäuser
ISBN: 3034884222
Category : Mathematics
Languages : en
Pages : 311
Book Description
A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.
Interpolation Theory
Author: Alessandra Lunardi
Publisher: Springer
ISBN: 8876426388
Category : Mathematics
Languages : en
Pages : 208
Book Description
This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
Publisher: Springer
ISBN: 8876426388
Category : Mathematics
Languages : en
Pages : 208
Book Description
This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
Topics in Operator Theory and Interpolation
Author: I. Gohberg
Publisher: Birkhäuser
ISBN: 3034891628
Category : Science
Languages : en
Pages : 240
Book Description
Publisher: Birkhäuser
ISBN: 3034891628
Category : Science
Languages : en
Pages : 240
Book Description