| 000 | 02882nam a22004935i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-48411-0 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151531.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1994 gw | s |||| 0|eng d | ||
| 020 |
_a9783540484110 _9978-3-540-48411-0 |
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| 024 | 7 |
_a10.1007/BFb0073952 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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_aMAT034000 _2bisacsh |
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_aPBK _2thema |
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| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aObata, Nobuaki. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aWhite Noise Calculus and Fock Space _h[electronic resource] / _cby Nobuaki Obata. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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| 300 |
_aX, 190 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 ; _v1577 |
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| 505 | 0 | _aPrerequisites -- White noise space -- White noise functionals -- Operator theory -- Toward harmonic analysis -- Addendum. | |
| 520 | _aWhite Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required. | ||
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aDistribution (Probability theory. | |
| 650 | 1 | 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 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783662164372 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540579854 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1577 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0073952 |
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| 912 | _aZDB-2-LNM | ||
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