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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

Julio Delgado
Dep. de Matemáticas, Universidad del Valle, Cali, Colombia

Michael Ruzhansky
(1) Dept. of Mathematics, Ghent University, Belgium, Ghent University, Belgium
(2) School of Mathematical Sciences, Queen Mary University, London, United Kingdom

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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