Spherical Functions on Euclidean Space

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dc.creatorWolf, Joseph A.
dc.date2005-09-20
dc.date.accessioned2026-07-07T06:18:31Z
dc.date.available2026-07-07T06:18:31Z
dc.descriptionWe study special functions on euclidean spaces from the viewpoint of riemannian symmetric spaces. Here the euclidean space $E^n = G/K$ where $G$ is the semidirect product $R^n \cdot K$ of the translation group with a closed subgroup $K$ of the orthogonal group O(n). We give exact parameterizations of the space of $(G,K)$--spherical functions by a certain affine algebraic variety, and of the positive definite ones by a real form of that variety. We give exact formulae for the spherical functions in the case where $K$ is transitive on the unit sphere in $E^n$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0509459
dc.identifierhttp://arxiv.org/abs/math/0509459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94760
dc.subjectRepresentation Theory
dc.subjectClassical Analysis and ODEs
dc.subjectDifferential Geometry
dc.titleSpherical Functions on Euclidean Space
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