Random Shifts of Stationary Processes
MATHEMATISCHES INSTITUT DER TECHNISCHEN HOCHSCHULE MUNCHEN Germany
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A variety of results concerning strongly stationary processes with smooth trajectories turns out to be derivable from a theorem, which extends the formula for changing the variable in the differential on the real axis to the case of measure spaces with a one-parameter group of measure preserving transformations. The paper starts with the statement of three results, which will be shown in the end to be special cases of the main theorem. The middle part consists of the formulation and proof of this main theorem.
- Theoretical Mathematics