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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Nicola, Fabio (Autor), Rodino, Luigi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2010.
Edición:1st ed. 2010.
Colección:Pseudo-Differential Operators, Theory and Applications, 4
Temas:
Acceso en línea:Texto Completo

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245 1 0 |a Global Pseudo-differential Calculus on Euclidean Spaces  |h [electronic resource] /  |c by Fabio Nicola, Luigi Rodino. 
250 |a 1st ed. 2010. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2010. 
300 |a X, 306 p.  |b online resource. 
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490 1 |a Pseudo-Differential Operators, Theory and Applications,  |x 2297-0363 ;  |v 4 
505 0 |a Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions. 
520 |a 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. 
650 0 |a Differential equations. 
650 0 |a Global analysis (Mathematics). 
650 0 |a Manifolds (Mathematics). 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 1 4 |a Differential Equations. 
650 2 4 |a Global Analysis and Analysis on Manifolds. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Functional Analysis. 
700 1 |a Rodino, Luigi.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783764394516 
776 0 8 |i Printed edition:  |z 9783764385118 
830 0 |a Pseudo-Differential Operators, Theory and Applications,  |x 2297-0363 ;  |v 4 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713)