# Bohr-Fourier series on solenoids via its transversal variation

## TL;DR

This paper explores the Bohr-Fourier series on one-dimensional solenoids by analyzing invariant functions and extending classical Fourier theory through transversal variation, offering new insights into harmonic analysis on solenoids.

## Contribution

It introduces a novel approach to Fourier analysis on solenoids using transversal variation and invariant functions, extending Bohr's classical theory.

## Key findings

- Characterization of Fourier series on solenoids
- Extension of Bohr's theory to transversal variations
- New methods for analyzing harmonic functions on solenoids

## Abstract

The Bohr-Fourier series development on one dimensional solenoids is analyzed by using invariant functions and extending Bohr's theory through the study of transversal variation