# Inversion of the convolution operators on a rectangular

## TL;DR

This paper develops a method for inverting convolution operators on rectangular domains using operator identities, revealing their structure and applications in signal processing.

## Contribution

It introduces a novel approach to invert convolution operators on rectangles by leveraging two operator identities, providing explicit structural insights.

## Key findings

- Derived the structure of inverse convolution operators on rectangles.
- Identified important forms relevant to signal processing.
- Provided explicit formulas for inverse operators.

## Abstract

Using simultaneously two operator identities, we consider the inversion of the convolution operators on a rectangular. The structure of the inverse operators and of some corresponding forms, which are important in signal processing, is derived.