{
  "annotation_id": "8e1c90eb-a75b-4c61-9fab-7e0ada2b00dd",
  "date_created": "2026-03-02T18:01:25.355000Z",
  "date_modified": "2026-03-02T18:01:25.355000Z",
  "file_hash": "9ebc8ea48865303ff404dd300415897292b5bc7053be9860dd837377451ae282",
  "private": false,
  "record": {
    "abstract": "In the previous author\u0027s paper the Macdonald norm conjecture (including the\nfamous constant term conjecture) was proved. This paper contains the proof of\nthe remaining two (the duality and evaluation conjectures). The evaluation\ntheorem is in fact a $q,t$-generalization of the classic Weyl dimension\nformula. As to the duality theorem, it states that the generalized\ntrigonometric-difference zonal Fourier transform is self-dual (at least\nformally). We define this transform in terms of double affine Hecke algebras\nrelated to elliptic braid groups. The duality appeared to be directly connected\nwith the transposition of the periods of an elliptic curve.",
    "arxiv_id": "q-alg/9412016",
    "authors": [
      "Ivan Cherednik"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF01231441",
    "title": "Macdonald\u0027s Evaluation Conjectures and Difference Fourier Transform",
    "url": "https://arxiv.org/abs/q-alg/9412016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f9417866-da15-49dc-9aa3-d7829e09cb91",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}