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Título: Global Pseudo-Differential Calculus On Euclidean Spaces | |
| Autor: Nicola, Fabio; Rodino, Luigi | Precio: $1237.00 | |
| Editorial: Birkhauser | Año: 2010 | |
| Tema: Matematicas, Calculo Diferencial e Integral, Calculo | Edición: 1ª | |
| Sinopsis | ISBN: 9783764385118 | |
| 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. | ||
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