Oscillatory Integrals and their Applications to Harmonic Analysis on Semisimple Lie Groups
The results discussed here have been obtained jointly with J. J. Duistermaat and J. A. C. Kolk of Utrecht, Netherlands [DKV 2]. They grew out of our efforts to obtain good error terms in the asymptotics of the spectra of compact locally symmetric manifolds of negative curvature [DV 1]. However they also seem to have some independent interest of their own.
KeywordsConjugacy Class Phase Function Oscillatory Integral Plancherel Measure Flag Manifold
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