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arXiv · 2503.21247

Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights

Yi C. Huang·Ryunosuke Kusaba·Tohru Ozawa
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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.

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Yi C. Huang, Ryunosuke Kusaba, Tohru Ozawa. 2025-03-27. Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights. https://arxiv.org/abs/2503.21247

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