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. © 2006 Elsevier B.V. All rights reserved.
Baldi, P., Marinucci, D. (2007). Some characterizations of the spherical harmonics coefficients for isotropic random fields. STATISTICS & PROBABILITY LETTERS, 77(5), 490-496 [10.1016/j.spl.2006.08.016].
Some characterizations of the spherical harmonics coefficients for isotropic random fields
BALDI, PAOLO;MARINUCCI, DOMENICO
2007-01-01
Abstract
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. © 2006 Elsevier B.V. All rights reserved.File in questo prodotto:
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