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|a 9783764385125
|9 978-3-7643-8512-5
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|a 10.1007/978-3-7643-8512-5
|2 doi
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|a QA370-380
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|a 515.35
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|a Nicola, Fabio.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Global Pseudo-differential Calculus on Euclidean Spaces
|h [electronic resource] /
|c by Fabio Nicola, Luigi Rodino.
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|a 1st ed. 2010.
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|a Basel :
|b Birkhäuser Basel :
|b Imprint: Birkhäuser,
|c 2010.
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|a X, 306 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Pseudo-Differential Operators, Theory and Applications,
|x 2297-0363 ;
|v 4
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|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.
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|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.
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|a Differential equations.
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|a Global analysis (Mathematics).
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|a Manifolds (Mathematics).
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|a Fourier analysis.
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|a Functional analysis.
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|a Differential Equations.
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650 |
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|a Global Analysis and Analysis on Manifolds.
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650 |
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|a Fourier Analysis.
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650 |
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|a Functional Analysis.
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|a Rodino, Luigi.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783764394516
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|i Printed edition:
|z 9783764385118
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|a Pseudo-Differential Operators, Theory and Applications,
|x 2297-0363 ;
|v 4
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856 |
4 |
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|u https://doi.uam.elogim.com/10.1007/978-3-7643-8512-5
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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