Operator Methods in Wavelets, Tilings, and Frames
Author: Veronika Furst
Publisher:
Published: 2014
Total Pages: 177
ISBN-13: 9781470419578
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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
DOWNLOAD EBOOK →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, Frames and Operator Theory
Author: Palle E. T. Jørgensen
Publisher: American Mathematical Soc.
Published: 2004
Total Pages: 358
ISBN-13: 0821833804
DOWNLOAD EBOOK →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
Function Spaces in Analysis
Author: Krzysztof Jarosz
Publisher: American Mathematical Soc.
Published: 2015-07-28
Total Pages: 301
ISBN-13: 1470416948
DOWNLOAD EBOOK →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
DOWNLOAD EBOOK →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.
Representations, Wavelets, and Frames
Author: Palle E. T. Jorgensen
Publisher: Springer Science & Business Media
Published: 2008-08-29
Total Pages: 343
ISBN-13: 0817646833
DOWNLOAD EBOOK →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.
Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations
Author: Anton Dzhamay
Publisher: American Mathematical Soc.
Published: 2015-10-28
Total Pages: 194
ISBN-13: 1470416549
DOWNLOAD EBOOK →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: 244
ISBN-13: 0821898582
DOWNLOAD EBOOK →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).
Trends in Harmonic Analysis and Its Applications
Author: Jens G. Christensen
Publisher: American Mathematical Soc.
Published: 2015-10-27
Total Pages: 209
ISBN-13: 1470418797
DOWNLOAD EBOOK →This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups. Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.
Hodge Theory and Classical Algebraic Geometry
Author: Gary Kennedy
Publisher: American Mathematical Soc.
Published: 2015-08-27
Total Pages: 137
ISBN-13: 1470409909
DOWNLOAD EBOOK →This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.
