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 |
| Теги: |
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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| Резюме: | 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. |
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