Radon-fourier Transforms on Symmetric Spaces and Related Group Representations 1
نویسنده
چکیده
The operator A(D) is called the radial component of D. Many special cases have been considered (see e.g. [1, §2], [4, §5], [5, §3], [7, §7 ], [8, Chapter IV, §§3-5]). Suppose now dv (resp. dw) is a positive measure on V (resp. W) which on any coordinate neighborhood is a nonzero multiple of the Lebesgue measure. Assume dg is a bi-invariant Haar measure on G. Given u E Cc (G X W) there exists [7, Theorem 1] a unique f, G C (G * W) such that
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