Intrinsic pseudodifferential calculi on any compact Lie group

2014/09/27 by Véronique Fischer, Fischer, Veronique · 1 citation
Mathematics · #35S05 #58J40 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary: 43A75 #Representation Theory (math.RT) #Secondary: 22E30

paper · pdf · doi:10.48550/arxiv.1410.1444

openalex publication_date 2014/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) Hörmander pseudo-differential calculus on the group viewed as a compact manifold.

Cited by

• Some geometric and spectral aspects of restriction problems
• Global hypoellipticity of systems of Fourier multipliers on compact Lie groups

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