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

Man-Wah Wong (Autor)

Buch | Hardcover

196 Seiten

2014 | 3rd Revised edition
World Scientific Publishing Co Pte Ltd (Verlag)
9789814583084 (ISBN)

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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.

Introduction, Notation and Preliminaries; Differentiation of Integrals Depending on Parameters; The Convolution; The Fourier Transform; Tempered Distributions; Symbols, Pseudo-Differential Operators and Asymptotic Expansions; A Partition of Unity and Taylor's Formula; The Product of Two Pseudo-Differential Operators; The Formal Adjoint of a Pseudo-Differential Operator; The Parametrix of an Elliptic Pseudo-Differential Operator; Lp-Boundedness of Pseudo-Differential Operators; The Sobolev Spaces Hs,p, -∞

Reihe/Serie	Series On Analysis, Applications And Computation ; 6
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9789814583084 / 9789814583084
Zustand	Neuware