Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L²-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos ex...
Збережено в:
| Дата: | 2008 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119138 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces / Yu.G. Kondratiev, T. Kuna, M.J. Oliveira // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 237-246. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-119138 |
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dspace |
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irk-123456789-1191382017-06-05T03:03:38Z Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces Kondratiev, Yu.G. Kuna, T. Oliveira, M.J. Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images of creation, annihilation, and second quantization operators in L²-spaces with respect to Poisson point processes to a set of functions larger than the space obtained by directly using chaos expansion. This permits, in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian contraction semigroup on a set of functions which forms a core of the generator. За допомогою гармонiчного аналiзу на конфiгурацiйних просторах одержано розширення явних виразiв для образiв операторiв народження, знищення i вторинного квантування в L²-просторах вiдносно точкових процесiв Пуассона на клас функцiй, ширший нiж простiр одержаний безпосередньо з розкладу хаосу. Це дозволяє, зокрема, одержати явний вираз для генератора вторинного квантування пiд-маркiвської стискаючої пiвгрупи на множинi функцiй, якi утворюють його ядро. 2008 Article Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces / Yu.G. Kondratiev, T. Kuna, M.J. Oliveira // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 237-246. — Бібліогр.: 13 назв. — англ. 1607-324X PACS: 02.40.Vh, 02.40.Yy DOI:10.5488/CMP.11.2.237 http://dspace.nbuv.gov.ua/handle/123456789/119138 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Harmonic analysis on configuration spaces is used in order to extend explicit expressions for the images
of creation, annihilation, and second quantization operators in L²-spaces with respect to Poisson point processes
to a set of functions larger than the space obtained by directly using chaos expansion. This permits,
in particular, to derive an explicit expression for the generator of the second quantization of a sub-Markovian
contraction semigroup on a set of functions which forms a core of the generator. |
| format |
Article |
| author |
Kondratiev, Yu.G. Kuna, T. Oliveira, M.J. |
| spellingShingle |
Kondratiev, Yu.G. Kuna, T. Oliveira, M.J. Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces Condensed Matter Physics |
| author_facet |
Kondratiev, Yu.G. Kuna, T. Oliveira, M.J. |
| author_sort |
Kondratiev, Yu.G. |
| title |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces |
| title_short |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces |
| title_full |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces |
| title_fullStr |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces |
| title_full_unstemmed |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces |
| title_sort |
extension of explicit formulas in poissonian white noise analysis using harmonic analysis on configuration spaces |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119138 |
| citation_txt |
Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces / Yu.G. Kondratiev, T. Kuna, M.J. Oliveira // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 237-246. — Бібліогр.: 13 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT kondratievyug extensionofexplicitformulasinpoissonianwhitenoiseanalysisusingharmonicanalysisonconfigurationspaces AT kunat extensionofexplicitformulasinpoissonianwhitenoiseanalysisusingharmonicanalysisonconfigurationspaces AT oliveiramj extensionofexplicitformulasinpoissonianwhitenoiseanalysisusingharmonicanalysisonconfigurationspaces |
| first_indexed |
2023-10-18T20:33:50Z |
| last_indexed |
2023-10-18T20:33:50Z |
| _version_ |
1796150528291373056 |