Search for: [Abstract = "In the paper, two general problems concerning linear stochastic evolution equations of convolution type are studied\: existence of strong solutions to such stochastic Volterra equations in a Hilbert space and regularity of solutions to two classes of stochastic Volterra equations in the spaces of tempered distributions. First, we consider Volterra equations in a separable Hilbert space H with the locally integrable kernel functions, a closed linear unbounded operator A and a cylindrical Wiener process. Our main results rely essentially on techniques using a strongly continuous family of so called resolvent operators."]

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