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Field name	Details
Dewey Class	515.353 (DDC 23)
Title	Global Pseudo-Differential Calculus on Euclidean Spaces ([EBook]) / by Fabio Nicola, Luigi Rodino.
Author	Nicola, Fabio
Added Personal Name	Rodino, Luigi
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2010.
Physical Details	X, 306 pages : online resource.
Series	Pseudo-Differential Operators, Theory and Applications ; 4
ISBN	9783764385125
Summary Note	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.:
Contents note	Background Material -- Global Pseudo-differential Calculus -- Globally Hypoelliptic PDEs -- Spectral Properties of Pseudo-differential Operators -- Other Applications -- Appendix -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8512-5
Links to Related Works	Subject References: Differential equations, Partial . Fourier Analysis . Functional Analysis . Global analysis . Global Analysis and Analysis on Manifolds . Partial differential equations . Authors: author . Nicola, Fabio . Rodino, Luigi . Corporate Authors: SpringerLink (Online service) . Series: Pseudo-Differential Operators, Theory and Applications . Classification: 515.353 (DDC 23) .

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Global Pseudo-Differential Calculus on Euclidean Spaces

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