A Note on the Local Weyl Formula on Compact Lie Groups
Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 237-248
We reformulate the spectral side of the Weyl law in the language of the matrix-valued quantisation on compact Lie groups.
DOI: 10.5802/jolt.1334
Classification: 35S30, 42B20, 42B37, 42B35
Keywords: Weyl formula, eigenfunctions, quantum limits, pseudo-differential operators, spectrum

Duván Cardona  1 ; Julio Delgado  2 ; Michael Ruzhansky  3 , 4

1 Dept. of Mathematics, Ghent University, Belgium
2 Dep. de Matemáticas, Universidad del Valle, Cali, Colombia
3 (1) Dept. of Mathematics, Ghent University, Belgium, Ghent University, Belgium
4 (2) School of Mathematical Sciences, Queen Mary University, London, United Kingdom
Duván Cardona; Julio Delgado; Michael Ruzhansky. A Note on the Local Weyl Formula on Compact Lie Groups. Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 237-248. doi: 10.5802/jolt.1334
@article{JOLT_2024_34_1_a10,
     author = {Duv\'an Cardona and Julio Delgado and Michael Ruzhansky},
     title = {A {Note} on the {Local} {Weyl} {Formula} on {Compact} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {237--248},
     year = {2024},
     volume = {34},
     number = {1},
     doi = {10.5802/jolt.1334},
     zbl = {1537.35440},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1334/}
}
TY  - JOUR
AU  - Duván Cardona
AU  - Julio Delgado
AU  - Michael Ruzhansky
TI  - A Note on the Local Weyl Formula on Compact Lie Groups
JO  - Journal of Lie Theory
PY  - 2024
SP  - 237
EP  - 248
VL  - 34
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1334/
DO  - 10.5802/jolt.1334
ID  - JOLT_2024_34_1_a10
ER  - 
%0 Journal Article
%A Duván Cardona
%A Julio Delgado
%A Michael Ruzhansky
%T A Note on the Local Weyl Formula on Compact Lie Groups
%J Journal of Lie Theory
%D 2024
%P 237-248
%V 34
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1334/
%R 10.5802/jolt.1334
%F JOLT_2024_34_1_a10

Cited by Sources: