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.
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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
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Da: Buchpark, Trebbin, Germania
Condizione: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Codice articolo 1284351/2
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