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110129s2010 sz | s |||| 0|eng d |
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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 PBKJ
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|a MAT007000
|2 bisacsh
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|a 515.353
|2 23
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|a Nicola, Fabio.
|e author.
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| 245 |
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|a Global Pseudo-Differential Calculus on Euclidean Spaces
|c by Fabio Nicola, Luigi Rodino.
|h [electronic resource] /
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| 264 |
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1 |
|a Basel :
|b Birkhũser Basel,
|c 2010.
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| 300 |
# |
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|a X, 306 p.
|b online resource.
|
| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Pseudo-Differential Operators, Theory and Applications ;
|v 4
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| 505 |
0 |
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|a Background Material -- Global Pseudo-differential Calculus -- Globally Hypoelliptic PDEs -- Spectral Properties of Pseudo-differential Operators -- Other Applications -- Appendix -- Bibliography -- Index.
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| 520 |
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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.
|
| 650 |
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0 |
|a Mathematics.
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| 650 |
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0 |
|a Fourier analysis.
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| 650 |
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0 |
|a Functional analysis.
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| 650 |
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0 |
|a Global analysis.
|
| 650 |
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0 |
|a Differential equations, partial.
|
| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Partial Differential Equations.
|
| 650 |
2 |
4 |
|a Global Analysis and Analysis on Manifolds.
|
| 650 |
2 |
4 |
|a Fourier Analysis.
|
| 650 |
2 |
4 |
|a Functional Analysis.
|
| 700 |
1 |
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|a Rodino, Luigi.
|e author.
|
| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783764385118
|
| 830 |
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|a Pseudo-Differential Operators, Theory and Applications ;
|v 4
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8512-5
|
| 912 |
# |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|