2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73701We study stochastic convolutions providing by fundamental solutions of a class of integrodifferential equations which interpolate the heat and the wave equations. We give sufficient condition for the existence of function--valued convolutions in terms of the covariance kernel of a noise given by spatially homogeneous Wiener process.16 pages, submittedProbabilityMathematical Physics60H20; secondary: 60G20, 60G60, 60H05, 45D05Function-valued stochastic convolutions arising in integrodifferential equationstext