{
  "id": "1806.11022",
  "version": "v1",
  "published": "2018-06-28T15:02:05.000Z",
  "updated": "2018-06-28T15:02:05.000Z",
  "title": "Generalized pseudo-coefficients of discrete series of $p$-adic groups",
  "authors": [
    "Kwangho Choiy"
  ],
  "journal": "Asian J. Math. 20 (2016), no. 5, pp.969-988",
  "doi": "10.4310/AJM.2016.v20.n5.a7",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $G$ be a connected reductive group over a $p$-adic field $F$ of characteristic 0 and let $M$ be an $F$-Levi subgroup of $G.$ Given a discrete series representation $\\sigma$ of $M(F),$ we prove that there exists a locally constant and compactly supported function on $M(F),$ which generalizes a pseudo-coefficient of $\\sigma.$ This function satisfies similar properties to the pseudo-coefficient, and its lifting to $G(F)$ is applied to the Plancherel formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-28T15:02:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "22E35"
    ],
    "keywords": [
      "adic groups",
      "generalized pseudo-coefficients",
      "function satisfies similar properties",
      "discrete series representation",
      "adic field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}