Parseval space-frequency localized frames on sub-Riemannian compact homogeneous manifolds

TL;DR

This paper constructs Parseval bandlimited and localized frames on sub-Riemannian compact homogeneous manifolds, advancing the mathematical tools available for analysis on these complex geometric structures.

Contribution

It introduces a novel method for constructing Parseval frames that are both bandlimited and localized on sub-Riemannian compact homogeneous manifolds.

Findings

Frames are explicitly constructed with desired localization properties

The constructed frames are Parseval and bandlimited

Applications to harmonic analysis on manifolds

Abstract

The objective of this article is to describe a construction of Parseval bandlimited and localized frames on sub-Riemannian compact homogeneous manifolds.