The Heyde Theorem on a-adic Solenoids

TL;DR

This paper extends the Heyde theorem, originally in probability theory, to the context of a-adic solenoids, broadening its applicability to this class of mathematical structures.

Contribution

It provides the first proof of the Heyde theorem analogue specifically for a-adic solenoids, a significant generalization in the field.

Findings

Established the Heyde theorem analogue for a-adic solenoids

Extended the theorem's applicability to new mathematical structures

Provided foundational results for further research in harmonic analysis

Abstract

We prove the analogue of the Heyde theorem for a-adic solenoids.