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001 54-091109
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008 091109e20070321sz fot ||| 0|eng d
020 _a9783037195376
024 7 0 _a10.4171/037
_2doi
040 _ach0018173
072 7 _aPBMP
_2bicssc
072 7 _aPBKJ
_2bicssc
084 _a58-xx
_a35-xx
_a53-xx
_2msc
100 1 _aBär, Christian,
_eauthor.
245 1 0 _aWave Equations on Lorentzian Manifolds and Quantization
_h[electronic resource] /
_cChristian Bär, Nicolas Ginoux, Frank Pfäffle
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2007
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2007
300 _a1 online resource (202 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aESI Lectures in Mathematics and Physics (ESI)
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aThis book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vector-bundle valued fields). After a collection of preliminary material in the first chapter one finds in the second chapter the construction of local fundamental solutions together with their Hadamard expansion. The third chapter establishes the existence and uniqueness of global fundamental solutions on globally hyperbolic spacetimes and discusses Green's operators and well-posedness of the Cauchy problem. The last chapter is devoted to field quantization in the sense of algebraic quantum field theory. The necessary basics on C*-algebras and CCR-representations are developed in full detail. The text provides a self-contained introduction to these topics addressed to graduate students in mathematics and physics. At the same time it is intended as a reference for researchers in global analysis, general relativity, and quantum field theory.
650 0 7 _aDifferential & Riemannian geometry
_2bicssc
650 0 7 _aDifferential equations
_2bicssc
650 0 7 _aGlobal analysis, analysis on manifolds
_2msc
650 0 7 _aPartial differential equations
_2msc
650 0 7 _aDifferential geometry
_2msc
700 1 _aBär, Christian,
_eauthor.
700 1 _aGinoux, Nicolas,
_eauthor.
700 1 _aPfäffle, Frank,
_eauthor.
856 4 0 _uhttps://doi.org/10.4171/037
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/baer_mini.jpg
942 _2EBK13745
_cEBK
999 _c50369
_d50369