A Note on the Local Weyl Formula on Compact Lie Groups

Key Points

• The research aims to reformulate the spectral side of the Weyl law using matrix-valued quantisation techniques.
• Reformulation of the Weyl law in terms of matrix-valued quantisation
• Focus on compact Lie groups as the primary mathematical structure
• Analysis of spectral properties within this context
• Provides a novel approach to understanding the Weyl law
• Highlights the interplay between spectral theory and matrix-valued quantisation
• Demonstrates implications for quantisation techniques on compact Lie groups