# Hardy's uncertainty principle and unique continuation properties for abstract Schr\"odinger equations

## TL;DR

This paper explores how Hardy's uncertainty principle relates to the unique continuation properties of abstract Schrödinger equations within vector-valued function spaces.

## Contribution

It establishes new connections between Hardy's principle and unique continuation for abstract Schrödinger equations in vector-valued contexts.

## Key findings

- Hardy's uncertainty principle is extended to vector-valued Schrödinger equations.
- Unique continuation properties are proven for a class of abstract Schrödinger equations.
- The results contribute to the understanding of the behavior of solutions in abstract quantum systems.

## Abstract

In this paper, Hardy's uncertainty principle and unique continuation properties of abstract Schr\"odinger equations in vector-valued classes are obtained