Functional analysis of canonical wave-packets on real reductive groups
Olufemi O. Oyadare
TL;DR
This paper explores the properties of canonical wave-packets on real reductive groups, providing new decompositions of Schwartz-type algebras and extending prior constructions in the field.
Contribution
It introduces novel decompositions of Schwartz-type algebras using canonical wave-packets, advancing the understanding of harmonic analysis on real reductive groups.
Findings
Proved decompositions of Schwartz-type algebras
Extended the construction of canonical wave-packets
Enhanced understanding of harmonic analysis on reductive groups
Abstract
This paper revisits the study of canonical wave-packets on a real reductive groups, sequel to its construction in a recent manuscript of Oyadare. Among other results, we prove some decompositions of the Schwartz-type algebras using the canonical wave-packets.
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