Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension (Q2905536)
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: Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension |
scientific article; zbMATH DE number 6072828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension |
scientific article; zbMATH DE number 6072828 |
Statements
Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension (English)
0 references
27 August 2012
0 references
Lie group
0 references
invariant measure
0 references
Heisenberg group
0 references
Ornstein-Uhlenbeck operator
0 references
The following concepts are defined: unitarizing measure for the representation of a Lie group in a space of holomorphic functions; infinitesimal representation of the Lie algebra; construction of the Ornstein-Uhlenbeck operator with a drift term and real valued coefficients. The problem, when the group representation measure is an invariant measure is investigated.NEWLINENEWLINEFor the entire collection see [Zbl 1248.46002].
0 references
