Marcinkiewicz-type multipliers on products of noncompact symmetric spaces

TL;DR

This paper establishes a Marcinkiewicz-type multiplier theorem for the spherical Fourier transform on products of rank one noncompact symmetric spaces, advancing harmonic analysis in this geometric setting.

Contribution

It provides the first Marcinkiewicz-type multiplier result for these product spaces, extending classical harmonic analysis results to a new geometric context.

Findings

Proved a Marcinkiewicz-type multiplier theorem for product spaces

Extended harmonic analysis techniques to noncompact symmetric spaces

Enhanced understanding of Fourier multipliers in geometric analysis

Abstract

In this paper we prove a Marcinkiewicz-type multiplier result for the spherical Fourier transform on products of rank one noncompact symmetric spaces.