Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
Analysis of PDEs
2025-09-16 v2 Classical Analysis and ODEs
Functional Analysis
Abstract
We consider the commutation relations between the Gauss--Weierstrass semigroup on , generated by convolution with the complex Gaussian kernel, and monomial weights. We provide an explicit representation and a sharper estimate of the commutation relations with more concise proofs than those in previous works.
Cite
@article{arxiv.2503.21247,
title = {Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights},
author = {Yi C. Huang and Ryunosuke Kusaba and Tohru Ozawa},
journal= {arXiv preprint arXiv:2503.21247},
year = {2025}
}
Comments
16 pages