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Hardy Classes and Operator Theory

1997-01-01 Mathematics
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Release : 1997-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 365/5 ( reviews)

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Book Synopsis Hardy Classes and Operator Theory by : Marvin Rosenblum

Download or read book Hardy Classes and Operator Theory written by Marvin Rosenblum. This book was released on 1997-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.

An Introduction to Operators on the Hardy-Hilbert Space

2007-03-12 Mathematics
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Release : 2007-03-12
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis An Introduction to Operators on the Hardy-Hilbert Space by : Ruben A. Martinez-Avendano

Download or read book An Introduction to Operators on the Hardy-Hilbert Space written by Ruben A. Martinez-Avendano. This book was released on 2007-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques from "soft" and "hard" analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.

Topics in Hardy Classes and Univalent Functions

1994-09-01 Mathematics
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Release : 1994-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 113/5 ( reviews)

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Book Synopsis Topics in Hardy Classes and Univalent Functions by : Marvin Rosenblum

Download or read book Topics in Hardy Classes and Univalent Functions written by Marvin Rosenblum. This book was released on 1994-09-01. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.

Operators, Functions, and Systems: Model operators and systems

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 762/5 ( reviews)

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Book Synopsis Operators, Functions, and Systems: Model operators and systems by : Nikolaĭ Kapitonovich Nikolʹskiĭ

Download or read book Operators, Functions, and Systems: Model operators and systems written by Nikolaĭ Kapitonovich Nikolʹskiĭ. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Overall, this work combines together - in two volumes - four formally distinct topics of modern analysis and their applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators; function models for linear operators and free interpolations; and infinite-dimensional system theory and signal processing. This, the second volume, contains parts C and D of the whole.

Topics in Hardy Classes and Univalent Functions

2012-10-10 Mathematics
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Release : 2012-10-10
Genre : Mathematics
Kind : eBook
Book Rating : 627/5 ( reviews)

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Book Synopsis Topics in Hardy Classes and Univalent Functions by : Marvin Rosenblum

Download or read book Topics in Hardy Classes and Univalent Functions written by Marvin Rosenblum. This book was released on 2012-10-10. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. These chapters were written first, and they were origi nally intended to be a part of that book. Half-plane function theory continues to be useful for applications and is a focal point in our account (Chapters 5 and 6). The theory of Hardy and Nevanlinna classes is derived from proper ties of harmonic majorants of subharmonic functions (Chapters 3 and 4). A selfcontained treatment of harmonic and subharmonic functions is included (Chapters 1 and 2). Chapters 7-9 present concepts from the theory of univalent functions and Loewner families leading to proofs of the Bieberbach, Robertson, and Milin conjectures. Their purpose is to make the work of de Branges accessible to students of operator theory. These chapters are by the second author. There is a high degree of independence in the chapters, allowing the material to be used in a variety of ways. For example, Chapters 5-6 can be studied alone by readers familiar with function theory on the unit disk. Chapters 7-9 have been used as the basis for a one-semester topics course.

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