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Poisson formula for a family of non-commutative Lobachevsky spaces

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M. Olshanetsky, V. Rogov

Quantum Algebra · Submitted 12 Feb 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/0302146 (version 1)
Pith IDMWSP2FAF, Pith's permanent record of this paper and its review
CitationM. Olshanetsky, V. Rogov. "Poisson formula for a family of non-commutative Lobachevsky spaces." arXiv:math/0302146 (2003). https://pith.science/paper/MWSP2FAF
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,262 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.04 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. The $q$-Fourier transform of the Poisson kernel is expressed through the $q$-Bessel-Macdonald function.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. contribution 1.00 0.95 0.42 asserted 1.00
s1 The $q$-Fourier transform of the Poisson kernel is expressed through the $q$-Bessel-Macdonald function. result 0.96 0.88 0.30 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.94 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. The $q$-Fourier transform of the Poisson kernel is expressed through the $q$-Bessel-Macdonald function.

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