On biorthogonal approach to a construction of non-Gaussian analysis and application to the Poisson analysis on the configuration space (Q2711779)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On biorthogonal approach to a construction of non-Gaussian analysis and application to the Poisson analysis on the configuration space |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On biorthogonal approach to a construction of non-Gaussian analysis and application to the Poisson analysis on the configuration space |
scientific article |
Statements
25 April 2001
0 references
configuration space
0 references
Poisson analysis
0 references
non-Gaussian infinite-dimensional analysis
0 references
dual pairings
0 references
On biorthogonal approach to a construction of non-Gaussian analysis and application to the Poisson analysis on the configuration space (English)
0 references
The author proposes a version of the well-known biorthogonal approach to the construction of a non-Gaussian infinite-dimensional analysis with a new differential operator and two different dual pairings connected with a non-Gaussian probability measure. In particular, such a modification makes it possible to study the Poisson analysis for the case where the intensity measure of the Poisson measure is not absolutely continuous with respect to the Lebesgue measure (this situation was not covered by earlier approaches).
0 references
