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- W2104804585 abstract "Let S=NA be a Damek–Ricci space with its standard metric γS. Let C:S→B be the Cayley transform from S onto the unit ball B in s. We compute the transported metric γB=C−1∗(γS). By separating variables in geodesic polar coordinates, we then compute the non-radial M-invariant eigenfunctions of the Laplacian on S, where M is the group of automorphisms of S preserving the inner product on s. The “radial” part of these eigenfunctions is given by (associated) Jacobi functions. The “angular” part is given by certain orthogonal polynomials in two variables studied by Koornwinder." @default.
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- W2104804585 date "2013-03-01" @default.
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- W2104804585 title "Geodesic spheres and non radial eigenfunctions on Damek–Ricci spaces" @default.
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- W2104804585 doi "https://doi.org/10.1016/j.indag.2012.11.006" @default.
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