Topics in pseudo-differential operators

書誌事項

Topics in pseudo-differential operators

S. Zaidman

(Pitman research notes in mathematics series, 359)

A.W. Longman, 1996

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注記

Includes bibliographical references (p. 110-111) and indexes

内容説明・目次

内容説明

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.

目次

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 Gohbergis Lemma and applications References Index of symbols Subject index

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