Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas
Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of semigroups, for which these PDOs are generato...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2011-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/21045/17303 |
| _version_ | 1828850702005305344 |
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| author | Nikolaj N Shamarov |
| author_facet | Nikolaj N Shamarov |
| author_sort | Nikolaj N Shamarov |
| collection | DOAJ |
| description | Homogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of semigroups, for which these PDOs are generators, Feynman formulas and Feynman-Kac ones are obtained. |
| first_indexed | 2024-12-12T23:17:31Z |
| format | Article |
| id | doaj.art-eaa4f757974a4233a66d6ac1a7eaf0a1 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:17:31Z |
| publishDate | 2011-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-eaa4f757974a4233a66d6ac1a7eaf0a12022-12-22T00:08:25ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812011-06-0115225125918462Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulasNikolaj N Shamarov0M. V. Lomonosov Moscow State UniversityHomogeneous closed PDO are constructed which are analogous to the powers of (absolute value of ) infinite dimensional Laplacian and acting in Banach spaces of complexvalued functions defined on function spaces over a field of p-adic numbers. For elements of semigroups, for which these PDOs are generators, Feynman formulas and Feynman-Kac ones are obtained.https://journals.eco-vector.com/1991-8615/article/viewFile/21045/17303feynman-kac formulasfeynman formulasfunctional laplacianp-adic analysis |
| spellingShingle | Nikolaj N Shamarov Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki feynman-kac formulas feynman formulas functional laplacian p-adic analysis |
| title | Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas |
| title_full | Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas |
| title_fullStr | Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas |
| title_full_unstemmed | Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas |
| title_short | Functional Laplace operator on a p-adic space and Feynman-kac and Feynman formulas |
| title_sort | functional laplace operator on a p adic space and feynman kac and feynman formulas |
| topic | feynman-kac formulas feynman formulas functional laplacian p-adic analysis |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/21045/17303 |
| work_keys_str_mv | AT nikolajnshamarov functionallaplaceoperatoronapadicspaceandfeynmankacandfeynmanformulas |