<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) density and (mod 1) uniform distribution turn out to be different.</p>
</abstract>

We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) density and (mod 1) uniform distribution turn out to be different.

Weyl’s Uniform Distribution Under Periodic Perturbation

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Weyl\u2019s Uniform Distribution Under Periodic Perturbation"}

We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the...

Weyl’s Uniform Distribution Under Periodic Perturbation

Published Online: Dec 12, 2022

Page range: 127 - 160

Received: May 06, 2022

Accepted: Aug 28, 2022

DOI: https://doi.org/10.2478/udt-2022-0015

Keywords
Weyl’s theory, density (mod 1), uniform distribution (mod 1), polynomial sequences, vector sequences, periodic perturbations

© 2022 Vilmos Totik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Weyl’s Uniform Distribution Under Periodic Perturbation

Published Online: Dec 12, 2022

Page range: 127 - 160

Received: May 06, 2022

Accepted: Aug 28, 2022

DOI: https://doi.org/10.2478/udt-2022-0015

KeywordsWeyl’s theory, density (mod 1), uniform distribution (mod 1), polynomial sequences, vector sequences, periodic perturbations

© 2022 Vilmos Totik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Weyl’s theory, density (mod 1), uniform distribution (mod 1), polynomial sequences, vector sequences, periodic perturbations