A brief introduction to Hilbert space frame theory and its applications

TL;DR

This paper provides a concise introduction to Hilbert space frame theory, focusing on finite frames, aimed at newcomers to understand the fundamental concepts and applications.

Contribution

It offers an accessible entry point into Hilbert space frame theory with an emphasis on finite frames for beginners.

Findings

Simplifies the core concepts of Hilbert space frames.

Highlights the importance of finite frame theory.

Serves as an introductory resource for new researchers.

Abstract

This is a short introduction to Hilbert space frame theory and its applications for those outside the area who want to enter the subject. We will emphasize finite frame theory since it is the easiest way to get into the subject.