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arxiv: q-alg/9712055 · v2 · submitted 1997-12-25 · q-alg · math.QA

The q-Fourier transform of q-distributions

M.Olshanetsky , V.Rogov This is my paper
classification q-alg math.QA
keywords distributionsfourierlatticetransformanalogconsiderconstructfunctions
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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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  1. The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model

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