Topics in Pseudo-DIfferential Operators: 1st Edition (Hardback) book cover

Topics in Pseudo-DIfferential Operators

1st Edition

By S D Zaidman

Chapman and Hall/CRC

128 pages

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Hardback: 9780582277823
pub: 1996-10-29
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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

Introduction

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

Gohbergís Lemma and applications

References

Index of symbols

Subject index

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis