{
  "annotation_id": "90bdca26-4563-437e-bea0-d0166692732f",
  "date_created": "2026-03-02T18:01:24.524000Z",
  "date_modified": "2026-03-02T18:01:24.524000Z",
  "file_hash": "aa88e2861bf3faffd5f880b38efc0db06946d16d339281503688d8b691f54417",
  "private": false,
  "record": {
    "abstract": "In this series of eight papers we present the applications of methods from\nwavelet analysis to polynomial approximations for a number of accelerator\nphysics problems. In this part we consider variational wavelet approach for\nloops, invariant bases on semidirect product, KAM calculation via FWT.",
    "arxiv_id": "physics/9904047",
    "authors": [
      "Antonina N. Fedorova",
      "Michael G. Zeitlin"
    ],
    "categories": [
      "physics.acc-ph",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "title": "Nonlinear Accelerator Problems via Wavelets: 8. Invariant Bases, Loops   and KAM",
    "url": "https://arxiv.org/abs/physics/9904047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ce8c0add-d1a4-4ee0-8bdc-d5caa2caec4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}