Topics in Pseudo-DIfferential Operators  book cover
1st Edition

Topics in Pseudo-DIfferential Operators

ISBN 9780582277823
Published October 29, 1996 by Chapman and Hall/CRC
128 Pages

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Book Description

This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of order, true order and asymptotic expansions for general linear operators in some vector spaces, following a pattern appearing in pseudo-differential operator theory. The book is intended mainly for an audience of operator theorists, at a fairly elementary level; its main objective a unitary presentation of articles written by the author over a number of years.

Table of Contents

Order and true order of linear operators in some vector spaces
Asymptotic expansions of linear operators in some vector spaces
Pseudo-differential operators in the spaces 1,s(Rn)
Pseudo-differential operators in F(Lp) and in Hs(Rn) spaces
Alternative representation formulas for operators G(x,D) and G(x,D)
Kohn-Nirenberg homogeneous and C[infinity]-symbols and their associated operators
Compactness of the operator A(x,D) - A(x,D) in the space-1(L1(Rn))(A(x,D) =A(x,D)-modulo the compact operators
GohbergĂ­s Lemma and applications
Index of symbols
Subject index

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