<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

Pubblicato online: 12 dic 2022

Pagine: 127 - 160

Ricevuto: 06 mag 2022

Accettato: 28 ago 2022

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

Parole chiave
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

Pubblicato online: 12 dic 2022

Pagine: 127 - 160

Ricevuto: 06 mag 2022

Accettato: 28 ago 2022

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

Parole chiaveWeyl’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.

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