Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
Yi C. Huang, Ryunosuke Kusaba, Tohru Ozawa
Published: 2025/3/27
Abstract
We consider the commutation relations between the Gauss--Weierstrass semigroup on $\mathbb{R}^{n}$, 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.