One-Step Recurrences for Stationary Random Fields on the Sphere

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dc.contributor.authorBeatson, R.K.
dc.contributor.authorW. zu Castell
dc.date.accessioned2019-02-15T19:05:06Z
dc.date.available2019-02-15T19:05:06Z
dc.date.issued2016
dc.description.abstractThis 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.sponsorshipThis 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.identifier.citationOne-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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 42A82; 33C45; 42C10; 62M30
dc.identifier.otherDOI:10.3842/SIGMA.2016.043
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147744
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOne-Step Recurrences for Stationary Random Fields on the Sphereuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік