A note on the local Weyl formula on compact Lie groups
Duv\'an Cardona, Julio Delgado, Michael Ruzhansky
TL;DR
This paper reformulates the spectral aspect of the Weyl law using matrix-valued quantisation on compact Lie groups, providing a new perspective on spectral asymptotics.
Contribution
It introduces a novel formulation of the Weyl law's spectral side through matrix-valued quantisation on compact Lie groups, enhancing theoretical understanding.
Findings
Reformulation of the Weyl law spectral side
Application of matrix-valued quantisation techniques
New insights into spectral asymptotics on Lie groups
Abstract
In this note we reformulate the spectral side of the Weyl law in the language of the matrix-valued quantisation on compact Lie groups.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Spectral Theory in Mathematical Physics · advanced mathematical theories