Some characterizations of the spherical harmonics coefficients for isotropic random fields
In this paper we provide some simple characterizations for the spherical harmonics coefficients of an isotropic random field on the sphere. The main result is a characterization of isotropic gaussian fields through independence of the coefficients of their development in spherical harmonics.
Year of publication: |
2007
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Authors: | Baldi, Paolo ; Marinucci, Domenico |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 5, p. 490-496
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Publisher: |
Elsevier |
Keywords: | Spherical random fields Spherical harmonics Characterization of gaussian random fields |
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