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003  CH0018173  
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006  a fot  0  
007  cr nn mmmmamaa  
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020  _a9783037195376  
024  7  0 
_a10.4171/037 _2doi 
040  _ach0018173  
072  7 
_aPBMP _2bicssc 

072  7 
_aPBKJ _2bicssc 

084 
_a58xx _a35xx _a53xx _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.emsph.org/ebooks.php 

520  _aThis book provides a detailed introduction to linear wave equations on Lorentzian manifolds (for vectorbundle 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 wellposedness 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 CCRrepresentations are developed in full detail. The text provides a selfcontained 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.emsph.org/img/books/baer_mini.jpg 
942 
_2EBK13745 _cEBK 

999 
_c50369 _d50369 