Translation beyond Delsarte-Reference-Cited by-同舟云学术

Translation beyond Delsarte

Published:2023-08-26 Issue:4 Volume:8 Page:
ISSN:2662-2009
Container-title:Advances in Operator Theory
language:en
Short-container-title:Adv. Oper. Theory

Author:

Horváth Á. P.^ORCID

Abstract

AbstractWe introduce general translations as solutions to Cauchy or Dirichlet problems. This point of view allows us to handle for instance the heat-diffusion semigroup as a translation. With the given examples, Kolmogorov–Riesz characterization of compact sets in certain

$$L^p_\mu $$

L μ p spaces is given. Pego-type characterizations are also derived. Finally, for some examples, the equivalence of the corresponding modulus of smoothness and K-functional is pointed out.

Funder

Budapest University of Technology and Economics

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s43036-023-00287-5.pdf

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