2024-03-28T13:00:28Z
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2022-12-19T04:15:34Z
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Additive Processes on Local Fields
Yasuda, Kumi
138912
415
application/pdf
The present paper aims at investigating some basic properties of additive processes on local fields which are rotation- invariant, i.e., invariant under multiplications by any elements of norm 1. We will give the transition probabilities of such processes explicitly, and prove that each process is a limit of processes expressed as integrals. The Levy measures of their transition probabilities will be used to tell whether they are recurrent, and whether they are stable. For stable processes, we will give some detailed observations.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
1996
application/pdf
Journal of mathematical sciences, the University of Tokyo
3
3
629
654
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40315/files/jms030306.pdf
eng