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

M. Olshanetsky·V. Rogov
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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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BibTeXRIS

M. Olshanetsky, V. Rogov. 1998-01-12. The $q$-Fourier transform of $q$-distributions. https://arxiv.org/abs/q-alg/9712055

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