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MR1415662 (97g:58178) 58G32 (58G11 60H25 60J65)
Gross, L. Harmonic analysis for the heat kernel measure on compact homogeneous spaces. Stochastic analysis on infinite-dimensional spaces (Baton Rouge, LA, 1994), 99--110, Pitman Res. Notes Math. Ser., 310, Longman Sci. Tech., Harlow, 1994.
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