000 | 02742nam a22004575i 4500 | ||
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001 | 978-3-540-47216-2 | ||
003 | DE-He213 | ||
005 | 20160624101826.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1987 gw | s |||| 0|eng d | ||
020 |
_a9783540472162 _9978-3-540-47216-2 |
||
024 | 7 |
_a10.1007/BFb0073088 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
|
082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aGårding, Lars. _eauthor. |
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245 | 1 | 0 |
_aSingularities in Linear Wave Propagation _h[electronic resource] / _cby Lars Gårding. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
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300 |
_aVI, 126 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1241 |
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505 | 0 | _aSingularities in linear wave propagation -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and symplectic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals. | |
520 | _aThese lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAnalysis. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540180012 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1241 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0073088 |
942 |
_2EBK1540 _cEBK |
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999 |
_c30834 _d30834 |