On some properties of g-frames and g-coherent states

TL;DR

This paper reviews g-frames, explores dual g-frames in detail, and introduces g-coherent states, analyzing their properties to deepen understanding of these mathematical structures.

Contribution

It provides a detailed analysis of dual g-frames and introduces g-coherent states, expanding the theoretical framework of g-frames.

Findings

Characterization of dual g-frames

Introduction of g-coherent states

Properties of g-coherent states studied

Abstract

After a short review of some basic facts on g-frames, we analyze in details the so-called (alternate) dual g-frames. We end the paper by introducing what we call {\em g-coherent states} and studying their properties.