From Double Hecke algebra to analysis
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doubleheckeaffinealgebraalgebrasanalysiscontainscurrent
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We discuss q-counterparts of the Gauss integrals, a new type of Gauss-Selberg sums at roots of unity, and q-deformations of Riemann's zeta. The paper contains general results, one-dimensional formulas, and remarks about the current projects involving the double affine Hecke algebras.
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