On equivalence and spectral multiplicity of some Gaussian processes | Zendy

S. Mitrović | Zendy

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On equivalence and spectral multiplicity of some Gaussian processes

Author(s) -

S. Mitrović

Publication year - 2002

Publication title -

publikacija elektrotehnickog fakulteta - serija matematika

Language(s) - English

Resource type - Journals

eISSN - 2406-0852

pISSN - 0353-8893

DOI - 10.2298/petf0213071m

Subject(s) - nondeterministic algorithm , multiplicity (mathematics) , gaussian , equivalence (formal languages) , mathematics , statistical physics , hilbert space , stochastic process , gaussian process , pure mathematics , discrete mathematics , mathematical analysis , physics , statistics , quantum mechanics

In this paper we consider some Gaussian second-order stochastic processes (continuous left and purely nondeterministic), in a separable Hilbert space and analyze conditions for these processes to be equivalent. Also, we connect some results of H. Cramer (from Structural and statistical problems for a class of stochastic processes, Princeton Univ. Press, Princeton, NJ, 1971) concerning the problem of spectral multiplicity.

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