<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

Publié en ligne: 12 déc. 2022

Pages: 127 - 160

Reçu: 06 mai 2022

Accepté: 28 août 2022

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

Mots clés
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

Publié en ligne: 12 déc. 2022

Pages: 127 - 160

Reçu: 06 mai 2022

Accepté: 28 août 2022

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

Mots clésWeyl’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.

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