Frames for subspaces of $\mathbb{C}^N$

TL;DR

This paper develops a theory of finite frames specifically for subspaces of complex vector spaces, extending classical frame theory to this broader context.

Contribution

It introduces the concept of subspace frames and proves results analogous to those in traditional frame theory for the entire space.

Findings

Defined subspace frames for $\

Proved analogous properties to classical frame theory for subspace frames.

Abstract

We present a theory of finite frames for subspaces of $\mathbb{C}^N$ . The definition of a subspace frame is given and results analogous to those from frame theory for $\mathbb{C}^N$ are proven.