A class of spatially inhomogeneous Dirichlet spaces on the p-adic number field

Hiroshi Kaneko

Stochastic Processes and their Applications, 2000, vol. 88, issue 1, 161-174

Abstract: In this paper, we will present a method to construct a spatially inhomogeneous process on the p-adic number field. Secondly, we will modify the definition of the derivative of real-valued function on the field, hinted by the Fourier transformation. As a result, we can introduce a class of spatially inhomogeneous modified stable processes, which cannot be obtained by the transformation by multiplicative functional. Lastly, recurrence and transience criteria for the non-local Dirichlet spaces will be presented.

Keywords: p-Adic; number; Inhomogeneous; stochastic; processes; Fourier; transformation; Recurrence; Transience (search for similar items in EconPapers)
Date: 2000
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