The character and the wave front set correspondence in the stable range
Tomasz Przebinda
TL;DR
This paper explores the relationship between distribution characters and wave front sets of unitary representations in real reductive dual pairs within the stable range, advancing understanding of their harmonic analysis.
Contribution
It establishes a new correspondence between characters and wave front sets for dual pairs in the stable range, providing a deeper insight into their representation theory.
Findings
Established a character-wave front set correspondence in the stable range.
Enhanced understanding of harmonic analysis on real reductive dual pairs.
Provided new tools for analyzing unitary representations.
Abstract
We relate the distribution characters and the wave front sets of unitary representation for real reductive dual pairs of type I in the stable range.
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