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Operator Methods in Wavelets, Tilings, and Frames

Author: Keri A. Kornelson

Publisher: American Mathematical Soc.

Published: 2014-10-20

Total Pages: 192

ISBN-13: 1470410400

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This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

Book Synopsis Operator Methods in Wavelets, Tilings, and Frames by : Keri A. Kornelson

Download or read book Operator Methods in Wavelets, Tilings, and Frames written by Keri A. Kornelson and published by American Mathematical Soc.. This book was released on 2014-10-20 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

Wavelets and Operators: Volume 1

Author: Yves Meyer

Publisher: Cambridge University Press

Published: 1992

Total Pages: 248

ISBN-13: 9780521458696

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The definite mathematical treatment of this important area, written by one of the founders of the field.

Book Synopsis Wavelets and Operators: Volume 1 by : Yves Meyer

Download or read book Wavelets and Operators: Volume 1 written by Yves Meyer and published by Cambridge University Press. This book was released on 1992 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definite mathematical treatment of this important area, written by one of the founders of the field.

Operator Methods in Wavelets, Tilings, and Frames

Author: Veronika Furst

Publisher:

Published: 2014

Total Pages: 177

ISBN-13: 9781470419578

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Book Synopsis Operator Methods in Wavelets, Tilings, and Frames by : Veronika Furst

Download or read book Operator Methods in Wavelets, Tilings, and Frames written by Veronika Furst and published by . This book was released on 2014 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wavelets, Frames and Operator Theory

Author: Palle E. T. Jørgensen

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 358

ISBN-13: 0821833804

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Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel

Book Synopsis Wavelets, Frames and Operator Theory by : Palle E. T. Jørgensen

Download or read book Wavelets, Frames and Operator Theory written by Palle E. T. Jørgensen and published by American Mathematical Soc.. This book was released on 2004 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel

Representations, Wavelets, and Frames

Author: Palle E. T. Jorgensen

Publisher: Springer Science & Business Media

Published: 2008-08-29

Total Pages: 343

ISBN-13: 0817646833

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The work of Lawrence Baggett has had a profound impact on the field of abstract harmonic analysis and the many areas of mathematics that use its techniques. His sphere of influence ranges from purely theoretical results regarding the representations of locally compact groups to recent applications of wavelets and frames to problems in sampling theory and image compression. Contributions in this volume reflect this broad scope, and Baggett’s unusual ability to bring together techniques from disparate fields. Recent applications to problems in sampling theory and image compression are included.

Book Synopsis Representations, Wavelets, and Frames by : Palle E. T. Jorgensen

Download or read book Representations, Wavelets, and Frames written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2008-08-29 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Lawrence Baggett has had a profound impact on the field of abstract harmonic analysis and the many areas of mathematics that use its techniques. His sphere of influence ranges from purely theoretical results regarding the representations of locally compact groups to recent applications of wavelets and frames to problems in sampling theory and image compression. Contributions in this volume reflect this broad scope, and Baggett’s unusual ability to bring together techniques from disparate fields. Recent applications to problems in sampling theory and image compression are included.

Wavelets, Frames and Operator Theory

Author:

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 342

ISBN-13: 9780821856802

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Book Synopsis Wavelets, Frames and Operator Theory by :

Download or read book Wavelets, Frames and Operator Theory written by and published by American Mathematical Soc.. This book was released on 2004 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces in Analysis

Author: Krzysztof Jarosz

Publisher: American Mathematical Soc.

Published: 2015-07-28

Total Pages: 301

ISBN-13: 1470416948

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This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Book Synopsis Function Spaces in Analysis by : Krzysztof Jarosz

Download or read book Function Spaces in Analysis written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 2015-07-28 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

Author: J. William Helton

Publisher: American Mathematical Soc.

Published: 2019-02-21

Total Pages: 104

ISBN-13: 1470434555

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An operator C on a Hilbert space H dilates to an operator T on a Hilbert space K if there is an isometry V:H→K such that C=V∗TV. A main result of this paper is, for a positive integer d, the simultaneous dilation, up to a sharp factor ϑ(d), expressed as a ratio of Γ functions for d even, of all d×d symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.

Book Synopsis Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions by : J. William Helton

Download or read book Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions written by J. William Helton and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: An operator C on a Hilbert space H dilates to an operator T on a Hilbert space K if there is an isometry V:H→K such that C=V∗TV. A main result of this paper is, for a positive integer d, the simultaneous dilation, up to a sharp factor ϑ(d), expressed as a ratio of Γ functions for d even, of all d×d symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.

Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations

Author: Anton Dzhamay

Publisher: American Mathematical Soc.

Published: 2015-10-28

Total Pages: 210

ISBN-13: 1470416549

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This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD. The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory. Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painlevé equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications.

Book Synopsis Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations by : Anton Dzhamay

Download or read book Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations written by Anton Dzhamay and published by American Mathematical Soc.. This book was released on 2015-10-28 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD. The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory. Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painlevé equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications.

Trends in Number Theory

Author: Fernando Chamizo

Publisher: American Mathematical Soc.

Published: 2015-09-28

Total Pages: 258

ISBN-13: 0821898582

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This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).

Book Synopsis Trends in Number Theory by : Fernando Chamizo

Download or read book Trends in Number Theory written by Fernando Chamizo and published by American Mathematical Soc.. This book was released on 2015-09-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).