# A function with support of finite measure and "small" spectrum

## TL;DR

This paper constructs a real-valued function supported on a finite measure set with a spectrum that has zero density, advancing understanding of spectral properties of functions.

## Contribution

It introduces a novel example of a function with finite measure support and a spectrum of zero density, which was previously unknown.

## Key findings

- Function supported on finite measure set
- Spectrum with zero density
- Advances spectral analysis understanding

## Abstract

We construct a function on the real line supported on a set of finite measure whose spectrum has density zero.