(DOWNLOAD) "Global Pseudo-differential Calculus on Euclidean Spaces" by Fabio Nicola & Luigi Rodino ~ Book PDF Kindle ePub Free
eBook details
- Title: Global Pseudo-differential Calculus on Euclidean Spaces
- Author : Fabio Nicola & Luigi Rodino
- Release Date : January 30, 2011
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 9658 KB
Description
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.