The principal result of this paper is a proof of the Convolution Theorem based on the definition of a convolution operator as presented by E. M. Stein and R. O'Neil. Closely related are earlier ...
Abstract: Several topological and analytical notions of continuity and fading memory for causal and time-invariant filters are introduced, and the relations between them are analyzed. A significant ...
A nonlinear version of Ovcyannikov's theorem is proved. If $F(u, t)$ is an analytic function of $t$ real or complex and of $u$ varying in a scale of Banach spaces ...
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