Stationary stochastic processes in a group system
- Authors
- Heo, Jaeseong
- Issue Date
- Oct-2007
- Publisher
- AMER INST PHYSICS
- Citation
- JOURNAL OF MATHEMATICAL PHYSICS, v.48, no.10, pp.1 - 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL PHYSICS
- Volume
- 48
- Number
- 10
- Start Page
- 1
- End Page
- 9
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179505
- DOI
- 10.1063/1.2789297
- ISSN
- 0022-2488
- Abstract
- In this paper, we discuss positive definite functions of locally compact groups into the predual of von Neumann algebras or C*-algebras. For a predual-valued or a C*-algebra valued weakly continuous covariant positive definite function, the corresponding covariant representation in a covariant group system is constructed. We consider some generalization of the time domain of stochastic processes to a locally compact group, and we use covariant representations in a group system to obtain invariant stationary stochastic processes induced from predual-valued covariant positive definite functions and covariant stationary stochastic processes induced from C*-algebra valued covariant positive definite functions.
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