Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups (Q1077659)
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: Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups |
scientific article; zbMATH DE number 3957908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups |
scientific article; zbMATH DE number 3957908 |
Statements
Stable semi-groups of measures as commutative approximate identities of non-graded homogeneous groups (English)
0 references
1986
0 references
The author extends to non-graded homogeneous groups the construction of a commutative approximate identity performed by Folland and Stein in the case of graded ones [\textit{G. B. Folland} and \textit{E. M. Stein}, Hardy spaces on homogeneous groups (1982; Zbl 0508.42025)]. The idea is to construct the commutative approximate identity as a stable semigroup of smooth measures, whose infinitesimal generator plays the role of the Rockland operator in Folland and Stein's construction.
0 references
Schwartz function
0 references
homogeneous groups
0 references
commutative approximate identity
0 references
semigroup of smooth measures
0 references
Rockland operator
0 references
