Search Results: a-short-course-on-spectral-theory-graduate-texts-in-mathematics

A Short Course on Spectral Theory

Author: William Arveson

Publisher: Springer Science & Business Media

ISBN: 0387215182

Category: Mathematics

Page: 142

View: 6712

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011

Author: Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil

Publisher: Springer Science & Business Media

ISBN: 3034806485

Category: Mathematics

Page: 535

View: 9682

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

A Short Course on Operator Semigroups

Author: Klaus-Jochen Engel,Rainer Nagel

Publisher: Springer Science & Business Media

ISBN: 0387366199

Category: Mathematics

Page: 248

View: 403

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation theorem. It also treats the spectral theory of semigroups and its consequences for the qualitative behavior. The book is intended for students and researchers who want to become acquainted with the concept of semigroups in order to work with it in fields like partial and functional differential equations. Exercises are provided at the end of the chapters.

Lineare Operatoren in Hilberträumen

Teil 1 Grundlagen

Author: Joachim Weidmann

Publisher: Springer-Verlag

ISBN: 9783322800947

Category: Mathematics

Page: 475

View: 5284

Behandelt werden die Grundlagen der Theorie zum Thema Lineare Operatoren in Hilberträumen, wie sie üblicherweise in Standardvorlesungen für Mathematiker und Physiker vorgestellt werden.

Harmonic and Spectral Analysis

Author: László Székelyhidi

Publisher: World Scientific

ISBN: 9814531731

Category: Mathematics

Page: 248

View: 976

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis. Contents:Abstract Harmonic Analysis:Duality of Finite Abelian GroupsHarmonic Analysis on Finite Abelian GroupsSet Theory and TopologyInvariant Means on Abelian GroupsDuality of Discrete and Compact Abelian GroupsDuality of Elementary Abelian GroupsHarmonic Analysis on Compact Abelian GroupsDuality of Locally Compact Abelian GroupsHaar Integral on Locally Compact Abelian GroupsHarmonic Analysis on Locally Compact Abelian GroupsSpectral Analysis and Synthesis:Basic ConceptsBasic Function ClassesThe Torsion Free RankSpectral AnalysisSpectral Synthesis Readership: Graduate students and researchers in the fields of harmonic analysis and functional analysis. Keywords:Harmonic Analysis;Fourier Transformation;Spectral SynthesisKey Features:First comprehensive treatment of spectral analysis and synthesisUnusual treatment of Haar measurePresents recent results on discrete spectral synthesis

Appalachian Set Theory

2006-2012

Author: James Cummings,Ernest Schimmerling

Publisher: Cambridge University Press

ISBN: 1107608503

Category: Mathematics

Page: 419

View: 7044

Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.

Studia Universitatis Babeș-Bolyai

Mathematică

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4586

Functional Analysis, Spectral Theory, and Applications

Author: Manfred Einsiedler,Thomas Ward

Publisher: Springer

ISBN: 3319585401

Category: Mathematics

Page: 614

View: 1726

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.

Zeitschrift für analysis und ihre anwendungen

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematical analysis

Page: N.A

View: 3180

Grundzüge der modernen Analysis

Author: Jean Alexandre Dieudonné

Publisher: Springer-Verlag

ISBN: 3322856933

Category: Mathematics

Page: 388

View: 7693

Newsletter

Author: New Zealand Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2959

Asymptotic Lifts of UCP Semigroups

Author: Dennis Joseph Courtney

Publisher: N.A

ISBN: N.A

Category:

Page: 118

View: 3274

Lineare Darstellungen endlicher Gruppen

Author: Jean Pierre Serre

Publisher: Springer-Verlag

ISBN: 3322858634

Category: Mathematics

Page: 102

View: 4469

Bulletin of the Belgian Mathematical Society, Simon Stevin

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8138

Vorlesungen Über die Zahlentheorie der Quaternionen

Author: Adolf Hurwitz

Publisher: Springer-Verlag

ISBN: 3642475361

Category: Mathematics

Page: 76

View: 6932

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Einführung in Theorie und Anwendung der Laplace-Transformation

Ein Lehrbuch für Studierende der Mathematik, Physik und Ingenieurwissenschaft

Author: Gustav Doetsch

Publisher: Springer-Verlag

ISBN: 3034841418

Category: Mathematics

Page: 351

View: 3152

American Book Publishing Record

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Books

Page: N.A

View: 2052

A Short Course in Quantum Information Theory

An Approach From Theoretical Physics

Author: Lajos Diosi

Publisher: Springer

ISBN: 3642161170

Category: Computers

Page: 161

View: 3599

This short and concise primer takes the vantage point of theoretical physics and the unity of physics. It sets out to strip the burgeoning field of quantum information science to its basics by linking it to universal concepts in physics. An extensive lecture rather than a comprehensive textbook, this volume is based on courses delivered over several years to advanced undergraduate and beginning graduate students, but essentially it addresses anyone with a working knowledge of basic quantum physics. Readers will find these lectures a most adequate entry point for theoretical studies in this field. For the second edition, the authors has succeeded in adding many new topics while sticking to the conciseness of the overall approach. A new chapter on qubit thermodynamics has been added, while new sections and subsections have been incorporated in various chapter to deal with weak and time-continuous measurements, period-finding quantum algorithms and quantum error corrections. From the reviews of the first edition: "The best things about this book are its brevity and clarity. In around 100 pages it provides a tutorial introduction to quantum information theory, including problems and solutions. ... it’s worth a look if you want to quickly get up to speed with the language and central concepts of quantum information theory, including the background classical information theory." (Craig Savage, Australian Physics, Vol. 44 (2), 2007)

Spectral Synthesis

Author: John J. Benedetto

Publisher: Springer-Verlag

ISBN: 3322966615

Category: Technology & Engineering

Page: 281

View: 1302

Spectral theory of operators in Hilbert space

Author: Kurt Otto Friedrichs

Publisher: N.A

ISBN: 9780387900766

Category: Mathematics

Page: 244

View: 1735

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