A Sharp Criterion for the Existence of the Density in the Product Formula on Symmetric Spaces of Type A(n)

作者：Graczyk P^*; Sawyer P

来源：Journal of Lie Theory, 2010, 20(4): 751-766.

• Product formula
• convolution of measures
• semisimple Lie groups

In this paper, we find sharp conditions on X, Y is an element of a for the existence of the density of the measure delta(b)(eX) star delta(b)(eY), intervening in the product formula for the spherical functions on the symmetric spaces of noncompact type X = SL(n, F)/SU(n, F) where F = R, C or H. Our results also apply to the symmetric space E-6/F-4.

• 出版日期2010