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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 0 | Source: arXiv Dataset IDs (Model)

The $q$-Fourier transform of $q$-distributions

Authors	M. Olshanetsky, V. Rogov
Categories	q-alg math.QA
ArXiv ID	q-alg/9712055
URL	https://arxiv.org/abs/q-alg/9712055

Abstract

We consider functions on the lattice generated by the integer powers of $q^2$ for $0<q<1$ and construct the $q$-analog of Fourier transform based on the Jackson integral in the space of distributions on the lattice.

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    "abstract": "We consider functions on the lattice generated by the integer powers of $q^2$\nfor $0\u003cq\u003c1$ and construct the $q$-analog of Fourier transform based on the\nJackson integral in the space of distributions on the lattice.",
    "arxiv_id": "q-alg/9712055",
    "authors": [
      "M. Olshanetsky",
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    "title": "The $q$-Fourier transform of $q$-distributions",
    "url": "https://arxiv.org/abs/q-alg/9712055"
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