A kernel formula for the action of the Weyl element in the Kirillov model of SL(2, C)

作者：Baruch Ehud Moshe^*; Beit Aharon Orr

来源：Journal of Number Theory, 2015, 146: 23-40.

DOI：10.1016/j.jnt.2014.02.001

• Bessel functions
• Kirillov model

We give an explicit description of the action of the Weyl element on smooth functions with compact support in the Kirillov model of non-principal series irreducible representations of SL(2, C) generalizing a result of Motohashi. An important ingredient in the proof of the kernel formula is a new "classical" formula for an integral involving Bessel functions. We also give an analogous formula for GL(2, C).

• 出版日期2015-1