The addition formula for the eigenfunctions of the Laplacian
From MaRDI portal
Publication:1218944
DOI10.1016/0001-8708(75)90003-1zbMath0309.33013OpenAlexW2072707967MaRDI QIDQ1218944
Publication date: 1975
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(75)90003-1
Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55) Other special functions (33E99)
Related Items (18)
Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces ⋮ Widths and entropy of sets of smooth functions on compact homogeneous manifolds ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach ⋮ Isoparametric foliations and the Pompeiu property ⋮ Strict positive definiteness on products of compact two-point homogeneous spaces ⋮ Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds ⋮ Solving partial differential equations on (evolving) surfaces with radial basis functions ⋮ Kernel based quadrature on spheres and other homogeneous spaces ⋮ Probabilistic and average widths of Sobolev spaces on compact two-point homogeneous spaces equipped with a Gaussian measure ⋮ New tests of uniformity on the compact classical groups as diagnostics for weak-\(^{*}\) mixing of Markov chains ⋮ The radii of sections of origin-symmetric convex bodies and their applications ⋮ Relationships between Donsker classes and Sobolev spaces ⋮ Approximation of smooth functions on compact two-point homogeneous spaces ⋮ The principle of general localization on unit sphere ⋮ Uniqueness of spherical harmonic expansions ⋮ Localization of spherical harmonic expansions
Cites Work
This page was built for publication: The addition formula for the eigenfunctions of the Laplacian