arXiv:1711.03083 Abstract | arXiv Analytics

arXiv:1711.03083 [math.FA]Abstract References Reviews Resources

Local and global symbols on compact Lie groups

Published 2017-11-08Version 1

On the torus, and more generally on a compact Lie, it is possible to assign a global symbol to a pseudodifferential operator using Fourier series. In this paper we investigate the relations that exist in this context between the local and global symbols for the operators in the classical Hormander calculus.

Comments: 35 pages

Categories: math.FA, math.AP, math.RT

Subjects: 43A75, 22E30, 58J40, 35S05

Keywords: compact lie groups, global symbol, pseudodifferential operator, fourier series, classical hormander calculus

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