Pith Number

pith:TH5KCCPP

pith:2026:TH5KCCPPX3OGUU7JPWFOKYZT63

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Continuity properties of the Laguerre operator and its propagator

{\DJ}or{\dj}e Vu\v{c}kovi\'c, Nenad Teofanov, Smiljana Jak\v{s}i\'c

Continuity properties of the Laguerre propagator establish well-posedness for its Cauchy problem and relate it to the harmonic oscillator.

arxiv:2605.16939 v1 · 2026-05-16 · math.AP · math.FA

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Claims

C1strongest claim

We study the well-posedness of a Cauchy problem associated with the general form of the Laguerre operator and relate it to the corresponding global problem for the harmonic oscillator. To this end, we carry out a detailed analysis of the continuity properties of the associated propagator.

C2weakest assumption

The continuity properties of the propagator for the Laguerre operator are sufficient to establish well-posedness of the Cauchy problem and to relate it to the global harmonic-oscillator problem (abstract, first paragraph).

C3one line summary

Analysis of propagator continuity for the Laguerre operator establishes well-posedness of associated Cauchy problems, relates them to the harmonic oscillator, and links fractional integral transforms within Pilipović spaces.

References

21 extracted · 21 resolved · 0 Pith anchors

[1] S.-Y. Chung, J. -Y. Na, Rotation Invariant Generalized Functions, Integral Transforms and Special Functions 10:1 (2000), 25-40 2000

[2] Erdélyi, Higher Transcedentals Function, Vol 1953

[3] I. M. Gel’fand, G. E. Shilov, Generalized Functions Volume 2 - Spaces of Fundamental and Generalized functions - Academic Press, 1968. 46 1968

[4] S. Jakšić, B. Prangoski, Extension theorem of Whitney type forS(Rd +) by the use of the Kernel Theorem, Publ. Inst. Math. Beograd, 99 (113) (2016), 59-65 2016

[5] S. Jakšić, S. Pilipović, B. Prangoski, G-type spaces of ultradistri- butions overR d + and the Weyl pseudo-differential operators with radial symbols, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat · doi:10.1007/s13398-016-0313-3

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:31.901256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99faa109efbedc6a53e97d8ae56333f6fc5fcc2653f3bb072396ea15f5af7f6a

Aliases

arxiv: 2605.16939 · arxiv_version: 2605.16939v1 · doi: 10.48550/arxiv.2605.16939 · pith_short_12: TH5KCCPPX3OG · pith_short_16: TH5KCCPPX3OGUU7J · pith_short_8: TH5KCCPP

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TH5KCCPPX3OGUU7JPWFOKYZT63 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 99faa109efbedc6a53e97d8ae56333f6fc5fcc2653f3bb072396ea15f5af7f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af6305a7b65cdf4afe45937f0a56967d03a0fae96fb176735d31b999f1ca79b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-16T11:21:11Z",
    "title_canon_sha256": "f21e603628ac789fc0906d6c5f7a97a09747276b08c17a2b3f0a8380edf29f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16939",
    "kind": "arxiv",
    "version": 1
  }
}