Global Pseudo-Differential Calculus on Euclidean Spaces

This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an el...

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Autors principals: Nicola, Fabio, Rodino, Luigi, 1948- (Autor)
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edició:1st ed. 2010.
Col·lecció:Pseudo-Differential Operators, Theory and Applications 4
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Edition sous un autre format:• Global Pseudo-differential Calculus on Euclidean Spaces, Texte imprimé, 9783764394516
• Global pseudo-differential calculus on euclidean spaces, Fabio Nicola, Luigi Rodino, Basel, Springer, Birkhäuser, 2010, 1 vol. (X-306 p.), Pseudo-differential operators. theory and applications, 978-3-7643-8511-8
Descripció
Sumari:This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied.
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783764385125
ISSN:2297-0363
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