Topics in Pseudo-DIfferential Operators

1. Auflage 1996
ISBN: 978-0-582-27782-3
Verlag: Chapman and Hall/CRC

Buch, Englisch, 128 Seiten, Format (B × H): 169 mm x 243 mm, Gewicht: 227 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

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.

Autoren/Hrsg.

Zaidman, S. D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

IntroductionOrder and true order of linear operators in some vector spacesAsymptotic expansions of linear operators in some vector spacesPseudo-differential operators in the spaces 1,s(Rn)Pseudo-differential operators in F(Lp) and in Hs(Rn) spacesAlternative representation formulas for operators G(x,D) and G(x,D)Kohn-Nirenberg homogeneous and C[infinity]-symbols and their associated operatorsCompactness of the operator A(x,D) - A(x,D) in the space-1(L1(Rn))(A(x,D) =A(x,D)-modulo the compact operatorsGohbergís Lemma and applicationsReferencesIndex of symbolsSubject index