TY  - BOOK
AU  - Nicola,Fabio
AU  - Rodino,Luigi
ED  - SpringerLink (Online service)
TI  - Global Pseudo-Differential Calculus on Euclidean Spaces
T2  - Pseudo-Differential Operators, Theory and Applications
SN  - 9783764385125
AV  - QA370-380 
U1  - 515.353 23
PY  - 2010///
CY  - Basel
PB  - Birkhäuser Basel
KW  - Mathematics
KW  - Fourier analysis
KW  - Functional analysis
KW  - Global analysis
KW  - Differential equations, partial
KW  - Partial Differential Equations
KW  - Global Analysis and Analysis on Manifolds
KW  - Fourier Analysis
KW  - Functional Analysis
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-7643-8512-5
ER  -