# A directional uncertainty principle for periodic functions

## TL;DR

This paper introduces a directional uncertainty product for multivariate periodic functions, measuring their localization along specific directions, and explores its properties with examples of well-localized wavelet frames.

## Contribution

It presents a novel directional uncertainty measure for multivariate periodic functions and analyzes its properties with practical examples.

## Key findings

- Defined a directional uncertainty product for periodic functions
- Analyzed properties of the uncertainty measure
- Provided examples with well-localized wavelet frames

## Abstract

In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions. It measures a localization of a function along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.