# On almost everywhere exponential summability of rectangular partial sums of double trigonometric Fourier series

## TL;DR

This paper investigates the almost everywhere exponential strong summability of rectangular partial sums in double trigonometric Fourier series for functions in the space L log L.

## Contribution

It establishes new results on exponential summability for double Fourier series of functions in a specific integrability class.

## Key findings

- Proves a.e. exponential strong summability for functions in L log L.
- Extends classical summability results to double Fourier series.
- Provides conditions under which rectangular partial sums converge exponentially almost everywhere.

## Abstract

In this paper we study the a.e. exponential strong summability problem for the rectangular partial sums of double trigonometric Fourier series of the functions from $L\log L$ .