{
  "annotation_id": "58e7dc84-2fbc-4939-93fb-ecc63767bbdb",
  "date_created": "2026-03-02T18:01:46.037000Z",
  "date_modified": "2026-03-02T18:01:46.037000Z",
  "file_hash": "1f22021a85bac122a7466914b97ae99430d98e5d6eb927c178129de8483c438a",
  "private": false,
  "record": {
    "abstract": "The theory of holomorphic functions of several complex variables is applied\nin proving a multidimensional variant of a theorem involving an exponential\nboundedness criterion for the classical moment problem. A theorem of Petersen\nconcerning the relation between the multidimensional and one-dimensional moment\nproblems is extended for half-lines and compact subsets of the real line. These\nresults are used to solve the moment problem for the quantum phase space\nobservables generated by the number states.",
    "arxiv_id": "quant-ph/0108059",
    "authors": [
      "Anatolij Dvurecenskij",
      "Pekka Lahti",
      "Kari Ylinen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0034-4877(02)80044-1",
    "title": "The uniqueness question in the multidimensional moment problem with   applications to phase space observables",
    "url": "https://arxiv.org/abs/quant-ph/0108059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1331a2a5-1ff8-4b1f-9fcb-1e731310d6d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}