Gaussian random fields on the sphere and sphere cross line

نویسندگان

چکیده

We review the Dudley integral for Belyaev dichotomy applied to Gaussian processes on spheres, and discuss approximate (or restricted) continuity of paths in discontinuous case. also spatio-temporal case, sphere cross line. In continuous we investigate link between smoothness decay rate angular power spectrum, following Tauberian work first author, Malyarenko, Lang Schwab.

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2022

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2019.08.007