Journal of Lie Theory 34 (2024), No. 1, 237--248
Copyright Heldermann Verlag 2024
A Note on the Local Weyl Formula on Compact Lie Groups
Duván Cardona
Dept. of Mathematics, Ghent University, Belgium
duvan.cardonasanchez@ugent.be
Julio Delgado
Dep. de Matemáticas, Universidad del Valle, Cali, Colombia
delgado.julio@correounivalle.edu.co
Michael Ruzhansky
(1) Dept. of Mathematics, Ghent University, Belgium, Ghent University, Belgium
(2) School of Mathematical Sciences, Queen Mary University, London, United Kingdom
michael.ruzhansky@ugent.be
We reformulate the spectral side of the Weyl law in the language of the matrix-valued quantisation on compact Lie groups.
Keywords: Weyl formula, eigenfunctions, quantum limits, pseudo-differential operators, spectrum.
MSC: 35S30, 42B20; 42B37, 42B35.
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