Geodesic
A Plancherel Formula for Representative Functions on Semisimple Lie Groups
Robert W. Donley, Jr.1
1344 Grove Street, #20, Jersey City, NJ 07306, U.S.A.
Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 493-505

Voir la notice de l'article provenant de la source Heldermann Verlag

A Plancherel formula is given for representative functions on a connected semisimple Lie group G. Since the matrix coefficients for the irreducible finite-dimensional representations are not necessarily square-integrable, an alternative to the Schur Orthogonality Relations is given using invariant differential operators. The corresponding operator analysis is summarized.
Classification : 22E46
Mots-clés : Semisimple Lie group, Schur orthogonality relations, matrix coefficient, representative function, Plancherel formula

Robert W. Donley, Jr.  1

1 344 Grove Street, #20, Jersey City, NJ 07306, U.S.A. 
Robert W. Donley, Jr. A Plancherel Formula for Representative Functions on Semisimple Lie Groups. Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 493-505. http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a7/
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     title = {A {Plancherel} {Formula} for {Representative} {Functions} on {Semisimple} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {493--505},
     year = {2013},
     volume = {23},
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