000 | 03210nam a22004935i 4500 | ||
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001 | 978-3-540-44662-0 | ||
003 | DE-He213 | ||
005 | 20190213151615.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1995 gw | s |||| 0|eng d | ||
020 |
_a9783540446620 _9978-3-540-44662-0 |
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024 | 7 |
_a10.1007/BFb0096328 _2doi |
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050 | 4 | _aQA319-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
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072 | 7 |
_aMAT037000 _2bisacsh |
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072 | 7 |
_aPBKF _2thema |
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082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aÜstünel, Ali Süleyman. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 3 |
_aAn Introduction to Analysis on Wiener Space _h[electronic resource] / _cby Ali Süleyman Üstünel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1995. |
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300 |
_aX, 102 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1610 |
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505 | 0 | _aPreliminaries -- Gross-Sobolev derivative, divergence and Ornstein-Uhlenbeck operator -- Meyer inequalities -- Hypercontractivity -- L p -multipliers theorem, meyer inequalities and distributions -- Some applications of the distributions -- Positive distributions and applications -- Characterization of independence of some Wiener functionals -- Moment inequalities for Wiener functional -- to the theorem of Ramer. | |
520 | _aThis book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus! | ||
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662173732 |
776 | 0 | 8 |
_iPrinted edition: _z9783540601708 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1610 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0096328 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11259 _d11259 |