First we give a formula of spherical functions on certain spherical homogeneous spaces. Then, applying it ,we complete the theory of the spherical functions on the space X of nondegenerate unramifide hermitian forms on a p-adic number field. More precisely, we give an explicit expression for the spherical functions, prove theorems on the spherical Fourier transforms on the space of Schwartz-Bruhat functions on X, and parameterize of all spherical functions on X. Finally, as an application, we give explicit expressions of local densities of representations of hermitian forms.
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