engleski

A limit formula for elliptic orbital integrals

Let O be a nilpotent orbit for a semisimple Lie group, which appears as the leading orbit in the wave-front set of a Vogan-Zuckerman module. We establish a limit formula for the computation of the canonical measure on O through differentiation of the canonical measures on elliptic orbits.

semisimple Lie group; invariant eigendistribution; orbital integral; Fourier inversion

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