# An approach to constructing super oscillatory functions

## TL;DR

This paper presents a method for constructing band-limited superoscillating functions capable of exhibiting arbitrarily high frequencies over long intervals, advancing the understanding of superoscillation phenomena.

## Contribution

It introduces a novel recipe for creating superoscillating functions with controlled high-frequency behavior over extended intervals.

## Key findings

- Successfully constructs functions with arbitrarily high local frequencies
- Demonstrates control over superoscillation duration and amplitude
- Provides a framework for further applications in signal processing

## Abstract

A recipe is presented for constructing band-limited superoscillating functions that exhibit arbitrarily high frequencies over arbitrarily long intervals.

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Source: https://tomesphere.com/paper/1907.00512