000 03000nam a22005295i 4500
001 978-3-540-70746-2
003 DE-He213
005 20190213151930.0
007 cr nn 008mamaa
008 121227s2004 gw | s |||| 0|eng d
020 _a9783540707462
_9978-3-540-70746-2
024 7 _a10.1007/b97327
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aJefferies, Brian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSpectral Properties of Noncommuting Operators
_h[electronic resource] /
_cby Brian Jefferies.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2004.
300 _aVII, 184 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1843
505 0 _aIntroduction -- Weyl Calculus -- Clifford Analysis -- Functional Calculus for Noncommuting Operators -- The Joint Spectrum of Matrices -- The Monogenic Calculus for Sectorial Operators -- Feynman's Operational Calculus -- References -- Index.
520 _aForming functions of operators is a basic task of many areas of linear analysis and quantum physics. Weyl’s functional calculus, initially applied to the position and momentum operators of quantum mechanics, also makes sense for finite systems of selfadjoint operators. By using the Cauchy integral formula available from Clifford analysis, the book examines how functions of a finite collection of operators can be formed when the Weyl calculus is not defined. The technique is applied to the determination of the support of the fundamental solution of a symmetric hyperbolic system of partial differential equations and to proving the boundedness of the Cauchy integral operator on a Lipschitz surface.
650 0 _aGlobal analysis (Mathematics).
650 0 _aOperator theory.
650 0 _aFunctions of complex variables.
650 0 _aFourier analysis.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aFunctions of a Complex Variable.
_0http://scigraph.springernature.com/things/product-market-codes/M12074
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540219231
776 0 8 _iPrinted edition:
_z9783662172308
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1843
856 4 0 _uhttps://doi.org/10.1007/b97327
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12378
_d12378