One-Step Recurrences for Stationary Random Fields on the Sphere

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Beatson, R.K.
dc.contributor.author	W. zu Castell
dc.date.accessioned	2019-02-15T19:05:06Z
dc.date.available	2019-02-15T19:05:06Z
dc.date.issued	2016
dc.identifier.citation	One-Step Recurrences for Stationary Random Fields on the Sphere / R.K. Beatson, W. zu Castell // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 27 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 42A82; 33C45; 42C10; 62M30
dc.identifier.other	DOI:10.3842/SIGMA.2016.043
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147744
dc.description.abstract	This paper develops operators for zonal functions on the sphere which preserve (strict) positive definiteness while moving up and down in the ladder of dimensions by steps of one. These fractional operators are constructed to act appropriately on the Gegenbauer polynomials {Cλn}.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. The authors thank the editor and the referees for their helpful suggestions. WzC acknowledges. support from a University of Canterbury Visiting Erskine Fellowship. RKB is grateful for the hospitality provided by the Helmholtz Zentrum M¨unchen.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	One-Step Recurrences for Stationary Random Fields on the Sphere	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA