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In this Note, we present a Calder\'on-type uniqueness theorem on the Cauchyproblem of stochastic partial differential equations. To this aim, we introducethe concept of stochastic pseudo-differential operators, and establish theirboundedness and other fundamental properties. The proof of our uniquenesstheorem is based on a new Carleman-type estimate.

Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations