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math.CA2011★ 17 cited
The Clifford Deformation of the Hermite Semigroup
Hendrik De Bie, Bent Orsted, Petr Somberg +1
This paper is a continuation of the paper [arXiv:0911.4725], investigating a natural radial deformation of the Fourier transform in the setting of Clifford analysis. At the same ti…
math.CA2009★ 25 cited
Generalized Bernstein--Reznikov integrals
Jean-Louis Clerc, Toshiyuki Kobayashi, Bent Ørsted +1
We find a closed formula for the triple integral on spheres in whose kernel is given by powers of the standard symplecti…