{
  "id": "math/0611174",
  "version": "v1",
  "published": "2006-11-07T09:47:06.000Z",
  "updated": "2006-11-07T09:47:06.000Z",
  "title": "Weight Functions in Time-Frequency Analysis",
  "authors": [
    "Karlheinz Gröchenig"
  ],
  "journal": "In \"Pseudodifferential Operators: Partial Differential Equations and Time-Frequency Analysis'', L. Rodino et al., eds., Fields Institute Comm. 52, pp.343 -- 366, 2007",
  "categories": [
    "math.FA"
  ],
  "abstract": "We discuss the most common types of weight functions in harmonic analysis and how they occur in \\tfa . As a general rule, submultiplicative weights characterize algebra properties, moderate weights characterize module properties, Gelfand-Raikov-Shilov weights determine spectral invariance, and Beurling-Domar weights guarantee the existence of compactly supported test functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-07T09:47:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42Axx"
    ],
    "keywords": [
      "weight functions",
      "time-frequency analysis",
      "weights characterize algebra properties",
      "gelfand-raikov-shilov weights determine spectral invariance",
      "moderate weights characterize module properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11174G"
    }
  }
}