Recent Trends in Toeplitz and Pseudodifferential Operators
Recent Trends in Toeplitz and Pseudodifferential Operators

Author: Roland V. Duduchava

Publisher: Springer Science & Business Media

Published: 2011-02-04

Total Pages: 275

ISBN-13: 303460548X

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The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

Recent Trends in Toeplitz and Pseudodifferential Operators
Recent Trends in Toeplitz and Pseudodifferential Operators

Author: Roland V. Duduchava

Publisher: Birkhäuser

Published: 2010-06-22

Total Pages: 272

ISBN-13: 9783034605472

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The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

Recent Trends in Toeplitz and Pseudodifferential Operators
Recent Trends in Toeplitz and Pseudodifferential Operators

Author: Roland V. Duduchava

Publisher: Birkhäuser

Published: 2013-11-28

Total Pages: 272

ISBN-13: 9783034605496

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The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

Modern Trends in Pseudo-Differential Operators
Modern Trends in Pseudo-Differential Operators

Author: Joachim Toft

Publisher: Springer Science & Business Media

Published: 2007-01-22

Total Pages: 338

ISBN-13: 3764380977

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The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Modern Trends in Pseudo-Differential Operators
Modern Trends in Pseudo-Differential Operators

Author: Joachim Toft

Publisher: Springer Science & Business Media

Published: 2007-06-25

Total Pages: 338

ISBN-13: 3764381167

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The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Recent Trends in Operator Theory and Partial Differential Equations
Recent Trends in Operator Theory and Partial Differential Equations

Author: Vladimir Maz'ya

Publisher: Birkhäuser

Published: 2017-02-23

Total Pages: 313

ISBN-13: 3319470795

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This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Operator Algebras, Toeplitz Operators and Related Topics
Operator Algebras, Toeplitz Operators and Related Topics

Author: Wolfram Bauer

Publisher: Springer Nature

Published: 2020-09-01

Total Pages: 467

ISBN-13: 3030446514

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This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics
Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Author: Yuri I. Karlovich

Publisher: Springer Science & Business Media

Published: 2012-10-30

Total Pages: 425

ISBN-13: 3034805373

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This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Modern Trends in Pseudo-Differential Operators
Modern Trends in Pseudo-Differential Operators

Author: Joachim Toft

Publisher: Birkhäuser

Published: 2009-09-03

Total Pages: 344

ISBN-13: 9783764391812

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The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Pseudo-Differential Operators: Groups, Geometry and Applications
Pseudo-Differential Operators: Groups, Geometry and Applications

Author: M. W. Wong

Publisher: Birkhäuser

Published: 2017-01-20

Total Pages: 242

ISBN-13: 3319475126

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This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.