|
|
|
|
| LEADER |
02564nmm a2200373 u 4500 |
| 001 |
EB000392438 |
| 003 |
EBX01000000000000000245491 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
130626 ||| eng |
| 020 |
|
|
|a 9783764385125
|
| 100 |
1 |
|
|a Nicola, Fabio
|
| 245 |
0 |
0 |
|a Global Pseudo-differential Calculus on Euclidean Spaces
|h Elektronische Ressource
|c by Fabio Nicola, Luigi Rodino
|
| 250 |
|
|
|a 1st ed. 2010
|
| 260 |
|
|
|a Basel
|b Birkhäuser
|c 2010, 2010
|
| 300 |
|
|
|a X, 306 p
|b online resource
|
| 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
|
| 653 |
|
|
|a Functional analysis
|
| 653 |
|
|
|a Functional Analysis
|
| 653 |
|
|
|a Fourier Analysis
|
| 653 |
|
|
|a Manifolds (Mathematics)
|
| 653 |
|
|
|a Differential Equations
|
| 653 |
|
|
|a Global analysis (Mathematics)
|
| 653 |
|
|
|a Global Analysis and Analysis on Manifolds
|
| 653 |
|
|
|a Differential equations
|
| 653 |
|
|
|a Fourier analysis
|
| 700 |
1 |
|
|a Rodino, Luigi
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
|
|a Pseudo-Differential Operators, Theory and Applications
|
| 028 |
5 |
0 |
|a 10.1007/978-3-7643-8512-5
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-7643-8512-5?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515.35
|
| 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
|