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One-Step Recurrences for Stationary Random Fields on the Sphere
Репозиторій DSpace/Manakin
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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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One-Step Recurrences for Stationary Random Fields on the Sphere
Інший ID:
2010 Mathematics Subject Classification: 42A82; 33C45; 42C10; 62M30
DOI:10.3842/SIGMA.2016.043
DOI:10.3842/SIGMA.2016.043
Посилання:
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.
Підтримка:
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.
Дата:
2016
Переглядів:
553
Завантажень:
249
Анотація:
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}.
