Recent Trends In Toeplitz And Pseudodifferential Operators


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Recent Trends in Toeplitz and Pseudodifferential Operators


Recent Trends in Toeplitz and Pseudodifferential Operators

Author: Roland V. Duduchava

language: en

Publisher: Springer Science & Business Media

Release Date: 2011-02-04


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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

language: en

Publisher: Springer Science & Business Media

Release Date: 2007-01-22


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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.

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics


Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Author: Yuri I. Karlovich

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-10-30


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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.​