Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci Spaces

TL;DR

This paper establishes spherical spectral analysis and synthesis in Damek-Ricci spaces and introduces two-radius theorems, advancing harmonic analysis on these non-symmetric spaces.

Contribution

It proves spectral analysis and synthesis in Damek-Ricci spaces and derives new two-radius theorems, extending harmonic analysis techniques.

Findings

Spectral analysis and synthesis hold in Damek-Ricci spaces

Two-radius theorems are established for these spaces

Advances harmonic analysis on non-symmetric spaces

Abstract

We prove that spherical spectral analysis and synthesis hold in Damek-Ricci spaces and derive two-radius theorems.