Some tempered distributions on semisimple groups
نویسنده
چکیده
The Selberg trace formula leads naturally to the study of certain tempered distributions on reductive groups defined over local fields. An important problem is to calculate the Fourier transforms of these distributions. We shall consider this question for the case tha t the local field is R and the group G is semisimple and has real rank one. In this context the notion of the Fourier transform of a tempered distribution has been defined in [l(a)]. A distribution T is said to be invar ian t if
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