One-Step Recurrences for Stationary Random Fields on the Sphere
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}.
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147744 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147744 |
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dspace |
| spelling |
irk-123456789-1477442019-02-16T01:25:31Z One-Step Recurrences for Stationary Random Fields on the Sphere Beatson, R.K. W. zu Castell 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}. 2016 Article 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. 1815-0659 2010 Mathematics Subject Classification: 42A82; 33C45; 42C10; 62M30 DOI:10.3842/SIGMA.2016.043 http://dspace.nbuv.gov.ua/handle/123456789/147744 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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}. |
| format |
Article |
| author |
Beatson, R.K. W. zu Castell |
| spellingShingle |
Beatson, R.K. W. zu Castell One-Step Recurrences for Stationary Random Fields on the Sphere Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Beatson, R.K. W. zu Castell |
| author_sort |
Beatson, R.K. |
| title |
One-Step Recurrences for Stationary Random Fields on the Sphere |
| title_short |
One-Step Recurrences for Stationary Random Fields on the Sphere |
| title_full |
One-Step Recurrences for Stationary Random Fields on the Sphere |
| title_fullStr |
One-Step Recurrences for Stationary Random Fields on the Sphere |
| title_full_unstemmed |
One-Step Recurrences for Stationary Random Fields on the Sphere |
| title_sort |
one-step recurrences for stationary random fields on the sphere |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147744 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT beatsonrk onesteprecurrencesforstationaryrandomfieldsonthesphere AT wzucastell onesteprecurrencesforstationaryrandomfieldsonthesphere |
| first_indexed |
2023-05-20T17:28:12Z |
| last_indexed |
2023-05-20T17:28:12Z |
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1796153365013463040 |