Oscillating multipliers on rank one locally symmetric spaces

TL;DR

This paper establishes the boundedness of oscillating multipliers on certain rank one locally symmetric spaces within the L^p space framework, advancing harmonic analysis in geometric contexts.

Contribution

It proves L^p-boundedness of oscillating multipliers specifically on rank one locally symmetric spaces, a novel extension of harmonic analysis techniques.

Findings

L^p-boundedness of oscillating multipliers proven

Applicable to specific classes of rank one symmetric spaces

Advances understanding of harmonic analysis on geometric spaces

Abstract

We prove $L^{p}$-boundedness of oscillating multipliers on some classes of rank one locally symmetric spaces.