Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908536322129920 |
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| author | Huang, Yi C. Kusaba, Ryunosuke Ozawa, Tohru |
| author_facet | Huang, Yi C. Kusaba, Ryunosuke Ozawa, Tohru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights Huang, Yi C. Kusaba, Ryunosuke Ozawa, Tohru Analysis of PDEs Classical Analysis and ODEs Functional Analysis 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. |
| title | Remarks on the commutation relations between the Gauss--Weierstrass semigroup and monomial weights |
| topic | Analysis of PDEs Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2503.21247 |