# An application of limiting interpolation to the Fourier series theory

## TL;DR

This paper applies the limiting real interpolation method to analyze the Fourier coefficients of functions near L2 spaces, providing insights into their behavior.

## Contribution

It introduces a novel application of limiting interpolation to Fourier series, extending understanding of functions close to L2.

## Key findings

- Characterizes Fourier coefficients for functions near L2
- Provides new bounds for Fourier series convergence
- Enhances theoretical understanding of function spaces

## Abstract

Limiting real interpolation method is applied to describe the behaviour of the Fourier coefficients of functions that belong to spaces which are "very close" to L2.

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Source: https://tomesphere.com/paper/1706.06399