000 | 03244nam a22005415i 4500 | ||
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001 | 978-3-540-47614-6 | ||
003 | DE-He213 | ||
005 | 20190213151209.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540476146 _9978-3-540-47614-6 |
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024 | 7 |
_a10.1007/BFb0089237 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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072 | 7 |
_aMAT029000 _2bisacsh |
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072 | 7 |
_aPBT _2thema |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aSchürmann, Michael. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aWhite Noise on Bialgebras _h[electronic resource] / _cby Michael Schürmann. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
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300 |
_aVI, 146 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1544 |
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505 | 0 | _aBasic concepts and first results -- Symmetric white noise on Bose Fock space -- Symmetrization -- White noise on bose fock space -- Quadratic components of conditionally positive linear functionals -- Limit theorems. | |
520 | _aStochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudsonand K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book will be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should havesome knowledge of functional analysis, operator algebras, and probability theory. | ||
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
650 | 2 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662215142 |
776 | 0 | 8 |
_iPrinted edition: _z9783540566274 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1544 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0089237 |
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912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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