Global Pseudo-differential Calculus on Euclidean Spaces: 4 (Pseudo-Differential Operators) - Tapa blanda

Nicola, Fabio; Rodino, Luigi

 
9783764385118: Global Pseudo-differential Calculus on Euclidean Spaces: 4 (Pseudo-Differential Operators)
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ISBN 10: 3764385111 ISBN 13: 9783764385118
Editorial: Birkhäuser, 2010

Sinopsis

This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3764385111
ISBN 13 
9783764385118
Encuadernación
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Número de páginas
306
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783764394516: Global Pseudo-differential Calculus on Euclidean Spaces

Edición Destacada

ISBN 10:  376439451X ISBN 13:  9783764394516
Editorial: Birkhäuser, 2011
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