{
  "annotation_id": "eb70a36c-e447-4811-a54e-6b5ce12d9498",
  "date_created": "2026-02-17T05:53:16.283000Z",
  "date_modified": "2026-02-17T05:53:16.283000Z",
  "file_hash": "8a2231809ff7f4499f549e492d78a61d559a42663b8d5cf4685a255a78cecc89",
  "private": false,
  "record": {
    "abstract": "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([-\\pi,\\pi],dm_k)$ for $$2-\\frac{1}{k+1} \u003c p \u003c 2+\\frac{1}{k}.$$",
    "arxiv_id": "2601.08582",
    "authors": [
      "Bechir Amri"
    ],
    "categories": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "$L^p$-Convergence of Fourier-Heckman-Opdam Expansions",
    "url": "https://arxiv.org/abs/2601.08582",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9da94ef-f6cf-4924-8b81-e69c64b2576a",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}