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Previous Up Next Article From References: 3

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From References: 3
From Reviews: 0
MR2075916 (2005f:22025) 22E50 (20G25 22E35)
Kim, Ju-Lee (1-IASP-SM)
Dual blobs and Plancherel formulas. (English, French summaries)
Bull. Soc. Math. France 132 (2004), no. 1, 5580.
Let k be a p-adic field, G the group of k-rational points of a connected reductive group defined
over k, and let g be its Lie algebra. Let G denote the tempered dual of G. From Harish-Chandra's
Plancherel formulas on g and G, one gets the equality
f(X)dX =
(f log)d,
for any f C
c (g) supported in a sufficiently small neighbourhood of zero. Here is the
character of , and f is the Fourier transform of f. The main theorem of the paper under review
refines the above equality by establishing an equality between spectral decomposition factors of
each side.


Source: Anandavardhanan, U. K. - Department of Mathematics, Indian Institute of Technology Bombay


Collections: Mathematics