dorsal/arxiv
View SchemaA reproducing kernel for nonsymmetric Macdonald polynomials
| Authors | K. Mimachi, M. Noumi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610014 |
| URL | https://arxiv.org/abs/q-alg/9610014 |
Abstract
We present a new formula of Cauchy type for the nonsymmetric Macdonald polynomials which are joint eigenfunctions of q-Dunkl operators. This gives the explicit formula for a reproducing kernel on the polynomial ring of n variables.
{
"annotation_id": "df6d31d9-4cb4-4d34-bd22-65f290bf82e5",
"date_created": "2026-03-02T18:01:28.817000Z",
"date_modified": "2026-03-02T18:01:28.817000Z",
"file_hash": "72437c5eb380153e4a80bdb4a1a028f626ac32947a8012e193b7e19dee700e5f",
"private": false,
"record": {
"abstract": "We present a new formula of Cauchy type for the nonsymmetric Macdonald\npolynomials which are joint eigenfunctions of q-Dunkl operators. This gives the\nexplicit formula for a reproducing kernel on the polynomial ring of n\nvariables.",
"arxiv_id": "q-alg/9610014",
"authors": [
"K. Mimachi",
"M. Noumi"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "A reproducing kernel for nonsymmetric Macdonald polynomials",
"url": "https://arxiv.org/abs/q-alg/9610014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e6747016-347c-4b26-927c-8bff62ad50ff",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}