The Theory Of Hb Spaces

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The Theory of H(b) Spaces: Volume 1

Author : Emmanuel Fricain
Publisher : Cambridge University Press
ISBN 13 : 1316060918
Total Pages : 703 pages
Book Rating : 4.3/5 (16 download)

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Book Synopsis The Theory of H(b) Spaces: Volume 1 by : Emmanuel Fricain

Download or read book The Theory of H(b) Spaces: Volume 1 written by Emmanuel Fricain and published by Cambridge University Press. This book was released on 2016-05-26 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

The Theory of H(b) Spaces

Author : Emmanuel Fricain
Publisher :
ISBN 13 : 9781316079829
Total Pages : 704 pages
Book Rating : 4.0/5 (798 download)

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Book Synopsis The Theory of H(b) Spaces by : Emmanuel Fricain

Download or read book The Theory of H(b) Spaces written by Emmanuel Fricain and published by . This book was released on 2016 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is volume 1 of a 2 volume set.

A Primer on Hilbert Space Theory

Author : Carlo Alabiso
Publisher : Springer Nature
ISBN 13 : 3030674177
Total Pages : 343 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis A Primer on Hilbert Space Theory by : Carlo Alabiso

Download or read book A Primer on Hilbert Space Theory written by Carlo Alabiso and published by Springer Nature. This book was released on 2021-03-03 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.

The Theory of H(b) Spaces

Author : Emmanuel Fricain
Publisher :
ISBN 13 : 9781316072721
Total Pages : 681 pages
Book Rating : 4.0/5 (727 download)

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Book Synopsis The Theory of H(b) Spaces by : Emmanuel Fricain

Download or read book The Theory of H(b) Spaces written by Emmanuel Fricain and published by . This book was released on 2016 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of H(b) Spaces: Volume 2

Author : Emmanuel Fricain
Publisher : Cambridge University Press
ISBN 13 : 1316351920
Total Pages : 641 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis The Theory of H(b) Spaces: Volume 2 by : Emmanuel Fricain

Download or read book The Theory of H(b) Spaces: Volume 2 written by Emmanuel Fricain and published by Cambridge University Press. This book was released on 2016-10-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators and Clark measures. Volume 2 focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.

The Theory of H ( b ) Spaces

Author : Emmanuel Fricain
Publisher : Cambridge University Press
ISBN 13 : 1107027780
Total Pages : 641 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Theory of H ( b ) Spaces by : Emmanuel Fricain

Download or read book The Theory of H ( b ) Spaces written by Emmanuel Fricain and published by Cambridge University Press. This book was released on 2016-10-20 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.

Hilbert Spaces and Operator Theory

Author : W. Mlak
Publisher : Springer
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Hilbert Spaces and Operator Theory by : W. Mlak

Download or read book Hilbert Spaces and Operator Theory written by W. Mlak and published by Springer. This book was released on 1991-11-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing a clear exposition for readers familiar with elementary measure theory and the fundamentals of set theory and general topology, presents the basic notions and methods of the theory of Hilbert spaces, a part of functional analysis being increasingly applied in mathematics and theoretical

Introduction to Hilbert Space and the Theory of Spectral Multiplicity

Author : Paul R. Halmos
Publisher :
ISBN 13 : 9781614274711
Total Pages : 118 pages
Book Rating : 4.2/5 (747 download)

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Book Synopsis Introduction to Hilbert Space and the Theory of Spectral Multiplicity by : Paul R. Halmos

Download or read book Introduction to Hilbert Space and the Theory of Spectral Multiplicity written by Paul R. Halmos and published by . This book was released on 2013-09 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2013 Reprint of 1951 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The subject matter of the book is funneled into three chapters: [1] The geometry of Hubert space; [2] the structure of self-adjoint and normal operators; [3] and multiplicity theory for a normal operator. For the last, an expert knowledge of measure theory is indispensable. Indeed, multiplicity theory is a magnificent measure-theoretic tour de force. The subject matter of the first two chapters might be said to constitute an introduction to Hilbert space, and for these, an a priori knowledge of classic measure theory is not essential. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor.

Theory of Hp Spaces

Author : Peter L. Duren
Publisher : Courier Dover Publications
ISBN 13 : 9780486411842
Total Pages : 0 pages
Book Rating : 4.4/5 (118 download)

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Book Synopsis Theory of Hp Spaces by : Peter L. Duren

Download or read book Theory of Hp Spaces written by Peter L. Duren and published by Courier Dover Publications. This book was released on 2000 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.

Theory of Bergman Spaces

Author : Hakan Hedenmalm
Publisher : Springer Science & Business Media
ISBN 13 : 1461204976
Total Pages : 299 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Bergman Spaces by : Hakan Hedenmalm

Download or read book Theory of Bergman Spaces written by Hakan Hedenmalm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.

Introduction to Hilbert Space and the Theory of Spectral Multiplicity

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 048682683X
Total Pages : 129 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Introduction to Hilbert Space and the Theory of Spectral Multiplicity by : Paul R. Halmos

Download or read book Introduction to Hilbert Space and the Theory of Spectral Multiplicity written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-11-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.

Theory of Function Spaces

Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 : 3034604157
Total Pages : 286 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Theory of Function Spaces by : Hans Triebel

Download or read book Theory of Function Spaces written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2010-08-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Introduction to the Theory of Hilbert Spaces

Author : Nachman Aronszajn
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to the Theory of Hilbert Spaces by : Nachman Aronszajn

Download or read book Introduction to the Theory of Hilbert Spaces written by Nachman Aronszajn and published by . This book was released on 1950 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dimension Theory of General Spaces

Author : A. R. Pears
Publisher : Cambridge University Press
ISBN 13 : 9780521093026
Total Pages : 0 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Dimension Theory of General Spaces by : A. R. Pears

Download or read book Dimension Theory of General Spaces written by A. R. Pears and published by Cambridge University Press. This book was released on 2009-01-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and self-contained account of the dimension theory of general topological spaces, with particular emphasis on the dimensional properties of non-metrizable spaces. It makes the subject accessible to beginning graduate students and will also serve as a reference work for general topologists. Two introductory chapters summarize standard results in general topology, and cover material on paracompactness and metrization. The principal definitions of dimension follow and their general properties are deduced. Many examples are analysed to show some of the more surprising or pathological aspects of dimension theory. Wherever it is useful to do so, proofs are given in detail.

Introduction to the Theory of Hilbert Spaces - Volume i

Author : Nachman Aronszajn
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Introduction to the Theory of Hilbert Spaces - Volume i by : Nachman Aronszajn

Download or read book Introduction to the Theory of Hilbert Spaces - Volume i written by Nachman Aronszajn and published by . This book was released on 1950 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Hilbert Space and the Theory of Spectral Multiplicity

Author : Paul R (Paul Richard) 1916- Halmos
Publisher : Hassell Street Press
ISBN 13 : 9781014365576
Total Pages : 136 pages
Book Rating : 4.3/5 (655 download)

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Book Synopsis Introduction to Hilbert Space and the Theory of Spectral Multiplicity by : Paul R (Paul Richard) 1916- Halmos

Download or read book Introduction to Hilbert Space and the Theory of Spectral Multiplicity written by Paul R (Paul Richard) 1916- Halmos and published by Hassell Street Press. This book was released on 2021-09-09 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Hardy Spaces on Homogeneous Groups

Author : Gerald B. Folland
Publisher : Princeton University Press
ISBN 13 : 069108310X
Total Pages : 298 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Hardy Spaces on Homogeneous Groups by : Gerald B. Folland

Download or read book Hardy Spaces on Homogeneous Groups written by Gerald B. Folland and published by Princeton University Press. This book was released on 1982-06-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group. The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.