%0 Journal Article %T From Double Hecke algebra to analysis %A Ivan Cherednik %J Mathematics %D 1998 %I arXiv %X 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. %U http://arxiv.org/abs/math/9806097v2