Journal article
Non-symmetric translation invariant Dirichlet forms on hypergroups
Bulletin of the Australian Mathematical Society, Vol.36(1), pp.61-72
1987
Abstract
In this note translation-invariant Dirichlet forms on a commutative hypergroup are studied. The main theorem gives a characterisation of an invariant Dirichlet form in terms of the negative definite function associated with it. As an illustration constructions of potentials arising from invariant Dirichlet forms are given. The examples of one- and two-dimensional Jacobi hypergroups yield specifications of invariant Dirichlet forms, particularly in the case of Gelfand pairs of compact type.
Details
- Title
- Non-symmetric translation invariant Dirichlet forms on hypergroups
- Authors/Creators
- W.R. Bloom (Author/Creator) - Murdoch UniversityH. Heyer (Author/Creator) - University of Tübingen
- Publication Details
- Bulletin of the Australian Mathematical Society, Vol.36(1), pp.61-72
- Publisher
- Cambridge University Press
- Identifiers
- 991005545116107891
- Copyright
- © 1987 Australian Mathematical Society
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
Metrics
45 Record Views
InCites Highlights
These are selected metrics from InCites Benchmarking & Analytics tool, related to this output
- Citation topics
- 9 Mathematics
- 9.28 Pure Maths
- 9.28.886 Operator Algebras
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics