$L^p$-Convergence of Fourier-Heckman-Opdam Expansions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914251814207488 |
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| author | Amri, Bechir |
| author_facet | Amri, Bechir |
| contents | We study the $L^p$-convergence of Fourier expansions in terms of non-symmetric Heckman-Opdam polynomials of type $A_1$. Using kernel estimates and duality arguments, we prove that the partial sums converge in $ L^p([-π,π],dm_k)$ for $$2-\frac{1}{k+1} < p < 2+\frac{1}{k}.$$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $L^p$-Convergence of Fourier-Heckman-Opdam Expansions Amri, Bechir Classical Analysis and ODEs We study the $L^p$-convergence of Fourier expansions in terms of non-symmetric Heckman-Opdam polynomials of type $A_1$. Using kernel estimates and duality arguments, we prove that the partial sums converge in $ L^p([-π,π],dm_k)$ for $$2-\frac{1}{k+1} < p < 2+\frac{1}{k}.$$ |
| title | $L^p$-Convergence of Fourier-Heckman-Opdam Expansions |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2601.08582 |