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Spherical functions : the spheres vs the projective spaces
(2014)
In this paper we establish a close relationship between the
spherical functions of the n-dimensional sphere Sn ≃ SO(n + 1)/SO(n)
and the spherical functions of the n-dimensional real projective space
P n(R) ≃ SO(n + ...
Spherical functions associated with the three dimensional sphere
(2014)
In this paper, we determine all irreducible spherical functions of any K-type associated to the pair (G;K) = (SO(4); SO(3)). This is accomplished by associating to a vector valued function H = H(u) of a real variable ...