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Pseudodifferential Operators with Automorphic Symbols

2015-06-22 Mathematics
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Release : 2015-06-22
Genre : Mathematics
Kind : eBook
Book Rating : 574/5 ( reviews)

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Book Synopsis Pseudodifferential Operators with Automorphic Symbols by : André Unterberger

Download or read book Pseudodifferential Operators with Automorphic Symbols written by André Unterberger. This book was released on 2015-06-22. Available in PDF, EPUB and Kindle. Book excerpt: The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts.

Recent Trends in Toeplitz and Pseudodifferential Operators

2011-02-04 Mathematics
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Release : 2011-02-04
Genre : Mathematics
Kind : eBook
Book Rating : 48X/5 ( reviews)

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Book Synopsis Recent Trends in Toeplitz and Pseudodifferential Operators by : Roland V. Duduchava

Download or read book Recent Trends in Toeplitz and Pseudodifferential Operators written by Roland V. Duduchava. This book was released on 2011-02-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 784/5 ( reviews)

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Book Synopsis Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi by : André Unterberger

Download or read book Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi written by André Unterberger. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2002. The subject of this book is the study of automorphic distributions, by which is meant distributions on R2 invariant under the linear action of SL(2,Z), and of the operators associated with such distributions under the Weyl rule of symbolic calculus. Researchers and postgraduates interested in pseudodifferential analyis, the theory of non-holomorphic modular forms, and symbolic calculi will benefit from the clear exposition and new results and insights.

Operator Algebras, Toeplitz Operators and Related Topics

2020-09-01 Mathematics
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Release : 2020-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 514/5 ( reviews)

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Book Synopsis Operator Algebras, Toeplitz Operators and Related Topics by : Wolfram Bauer

Download or read book Operator Algebras, Toeplitz Operators and Related Topics written by Wolfram Bauer. This book was released on 2020-09-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction To Pseudo-differential Operators, An (3rd Edition)

2014-03-11 Mathematics
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Release : 2014-03-11
Genre : Mathematics
Kind : eBook
Book Rating : 103/5 ( reviews)

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Book Synopsis Introduction To Pseudo-differential Operators, An (3rd Edition) by : Man-wah Wong

Download or read book Introduction To Pseudo-differential Operators, An (3rd Edition) written by Man-wah Wong. This book was released on 2014-03-11. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn).The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics.

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