2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58804We use one-dimensional double affine Hecke algebras to introduce q-counterparts of the Gauss integrals and new types of Gauss-Selberg sums at roots of unity.amstexQuantum AlgebraOne-dimensional double Hecke algebras and Gaussianstext