Displaying similar documents to “Sets of uniqueness”

Topics on Kronecker sets

Robert Kaufman (1973)

Annales de l'institut Fourier

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We obtain three theorems about transformation of sets of multiplicity onto Kronecker sets, by means of functions of various differentiability classes. The same method yields an improved theorem on the union of two Kronecker sets.

Infinitely divisible processes and their potential theory. I

Sidney C. Port, Charles J. Stone (1971)

Annales de l'institut Fourier

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We show that associated with every i.d. (infinitely divisible) process on a locally compact, non-compact 2nd countable Abelian group is a corresponding potential theory that yields definitive results on the behavior of the process in both space and time. Our results are general, no density or other smoothness assumptions are made on the process. In this first part of two part work we have four main goals. (1) To lay the probabilistic foundation of such processes. This mainly...