Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
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DOI: 10.1016/j.spa.2020.02.003
Abstract: Abstract Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev regularity and Holder continuity are explored through spectral representations. It is shown how spectral properties of the covariance function associated to… read more here.
Keywords: random fields; point homogeneous; homogeneous spaces; compact two ... See more keywords
Analogs of the Globevnik problem on Riemannian two-point homogeneous spaces
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DOI: 10.1134/s000143461703004x
Abstract: On a two-point homogeneous space X, we consider the problem of describing the set of continuous functions having zero integrals over all spheres enclosing the given ball. We obtain the solution of this problem and… read more here.
Keywords: point homogeneous; analogs globevnik; two point; globevnik problem ... See more keywords