MARC record from Internet Archive

LEADER: 04870cam 2200985 a 4500
001 ocm27897890
003 OCoLC
005 20200725021312.0
008 930310s1993 gw b 001 0 eng
010 $a 93018938
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035 $a(OCoLC)27897890$z(OCoLC)676724745
050 00 $aQC174.17.M35$bS3 1993
050 14 $aQA3$b.L4 no.1544 1993
082 00 $a530.1/2/015192$220
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084 $2msc$a60K40
100 1 $aSchürmann, Michael,$d1955-
245 10 $aWhite noise on bialgebras /$cMichael Schürmann.
260 $aBerlin ;$aNew York :$bSpringer-Verlag,$c©1993.
300 $a146 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics ;$v1544
504 $aIncludes bibliographical references (pages 138-142) and index.
505 0 $a1. Basic concepts and first results. 1.2. Quantum probabilistic notions. 1.3. Independence. 1.4. Commutation factors. 1.5. Invariance of states. 1.6. Additive and multiplicative white noise. 1.7. Involutive bialgebras. 1.9. White noise on involutive bialgebras -- 2. Symmetric white noise on Bose Fock space. 2.1. Bose Fock space over L[superscript 2](R[subscript+], H). 2.2. Kernels and operators. 2.3. The basic formula. 2.4. Quantum stochastic integrals and quantum Ito's formula. 2.5. Coalgebra stochastic integral equations -- 3. Symmetrization. 3.1. Symmetrization of bialgebras. 3.2. Schoenberg correspondence. 3.3. Symmetrization of white noise -- 4. White noise on Bose Fock space. 4.1. Group-like elements and realization of white noise. 4.2. Primitive elements and additive white noise. 4.3. Azema noise and quantum Wiener and Poisson processes. 4.4. Multiplicative and unitary white noise.
505 0 $a4.5. Cocommutative white noise and infinitely divisible representations of groups and Lie algebras -- 5. Quadratic components of conditionally positive linear functionals. 5.1. Maximal quadratic components. 5.2. Infinitely divisible states on the Weyl algebra -- 6. Limit theorems. 6.1. A coalgebra limit theorem. 6.2. The underlying additive noise as a limit. 6.3. Invariance principles.
650 0 $aQuantum theory$xMathematics.
650 0 $aStochastic analysis.
650 6 $aThéorie quantique$xMathématiques.
650 6 $aAnalyse stochastique.
650 7 $aQuantum theory$xMathematics.$2fast$0(OCoLC)fst01085135
650 7 $aStochastic analysis.$2fast$0(OCoLC)fst01133499
650 17 $aKwantummechanica.$2gtt
650 17 $aStochastische analyse.$2gtt
650 7 $aBialgebra$2gnd
650 7 $aHopf-Algebra$2gnd
650 7 $aWeißes Rauschen$2gnd
650 04 $aspeciális folyamatok$xvalószínűségelmélet
653 0 $aQuantum$aMathematics
653 0 $aStochastic analysis
776 08 $iOnline version:$aSchürmann, Michael, 1955-$tWhite noise on bialgebras.$dBerlin ; New York : Springer-Verlag, ©1993$w(OCoLC)625382510
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v1544.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/bowker/toc/9780387566276.pdf
856 42 $3Inhaltstext$uhttp://www.zentralblatt-math.org/zmath/en/search/?an=0773.60100
856 4 $3Cover$uhttp://swbplus.bsz-bw.de/bsz033576289cov.htm$v20091126164937
856 $31850-9999$uhttp://www.springer.com/gb/$xBLDSS
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948 $hNO HOLDINGS IN P4A - 251 OTHER HOLDINGS