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Global Pseudo-differential Calculus on Euclidean Spaces

2011-01-30 Mathematics
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Release : 2011-01-30
Genre : Mathematics
Kind : eBook
Book Rating : 12X/5 ( reviews)

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Book Synopsis Global Pseudo-differential Calculus on Euclidean Spaces by : Fabio Nicola

Download or read book Global Pseudo-differential Calculus on Euclidean Spaces written by Fabio Nicola. This book was released on 2011-01-30. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

2012-10-30 Mathematics
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Release : 2012-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis Operator Theory, Pseudo-Differential Equations, and Mathematical Physics by : Yuri I. Karlovich

Download or read book Operator Theory, Pseudo-Differential Equations, and Mathematical Physics written by Yuri I. Karlovich. This book was released on 2012-10-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.​

Pseudo-Differential Operators and Generalized Functions

2015-04-27 Mathematics
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Release : 2015-04-27
Genre : Mathematics
Kind : eBook
Book Rating : 181/5 ( reviews)

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Book Synopsis Pseudo-Differential Operators and Generalized Functions by : Stevan Pilipović

Download or read book Pseudo-Differential Operators and Generalized Functions written by Stevan Pilipović. This book was released on 2015-04-27. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.

Time-Frequency Analysis of Operators

2020-09-21 Mathematics
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Release : 2020-09-21
Genre : Mathematics
Kind : eBook
Book Rating : 45X/5 ( reviews)

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Book Synopsis Time-Frequency Analysis of Operators by : Elena Cordero

Download or read book Time-Frequency Analysis of Operators written by Elena Cordero. This book was released on 2020-09-21. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.

Mathematical Analysis and Applications—Plenary Lectures

2018-11-11 Mathematics
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Release : 2018-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 746/5 ( reviews)

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Book Synopsis Mathematical Analysis and Applications—Plenary Lectures by : Luigi G. Rodino

Download or read book Mathematical Analysis and Applications—Plenary Lectures written by Luigi G. Rodino. This book was released on 2018-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Växjö, Sweden, on 14-18 August, 2017. It is the purpose of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is understood here in the broad sense of the word, including differential equations, integral equations, functional analysis, and function theory. With this objective, ISAAC organizes international Congresses for the presentation and discussion of research on analysis. The plenary lectures in the present volume, authored by eminent specialists, are devoted to some exciting recent developments, topics including: local solvability for subprincipal type operators; fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic command of Calculus. This book will appeal to scientists, teachers, and graduate students in Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis and Mathematical Physics.

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