<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

Data publikacji: 12 gru 2022

Zakres stron: 127 - 160

Otrzymano: 06 maj 2022

Przyjęty: 28 sie 2022

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

Słowa kluczowe
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

Data publikacji: 12 gru 2022

Zakres stron: 127 - 160

Otrzymano: 06 maj 2022

Przyjęty: 28 sie 2022

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

Słowa kluczoweWeyl’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.

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