Operator Covariant Transform and Local Principle

TL;DR

This paper explores the relationship between Simonenko's localization technique and the operator covariant transform associated with nilpotent Lie groups, revealing connections between these mathematical frameworks.

Contribution

It introduces a novel link between localization methods and covariant transforms in the context of nilpotent Lie groups, expanding theoretical understanding.

Findings

Established a connection between localization technique and covariant transform

Extended the covariant transform framework to nilpotent Lie groups

Provided new insights into operator theory and group representations

Abstract

We describe connections between the localization technique introduced by I. B. Simonenko and operator covariant transform produced by nilpotent Lie groups.