| Title:
|
Derivative of the Donsker delta functionals (English) |
| Author:
|
Suryawan, Herry Pribawanto |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
144 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
161-176 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that derivatives of any finite order of Donsker's delta functionals are well-defined elements in the space of Hida distributions. We also show the convergence to the derivative of Donsker's delta functionals of two different approximations. Finally, we present an existence result of finite product and infinite series of the derivative of the Donsker delta functionals. (English) |
| Keyword:
|
Donsker delta functional |
| Keyword:
|
white noise analysis |
| Keyword:
|
distributional derivative |
| MSC:
|
28C20 |
| MSC:
|
46F25 |
| MSC:
|
60G20 |
| MSC:
|
60H40 |
| idZBL:
|
Zbl 07088843 |
| idMR:
|
MR3974185 |
| DOI:
|
10.21136/MB.2018.0078-17 |
| . |
| Date available:
|
2019-06-21T11:33:30Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147757 |
| . |
| Reference:
|
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| Reference:
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