Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Multidimensional nonlinear myopic maps, Volterra series, and uniform neural-network approximations
Intelligent methods in signal processing and communications
Signals and Systems
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An expression is given for the most general input-output map associated with the members of a certain important large family of multidimensional linear systems. This expression is a uniform limit of a convolution. Also given is a necessary and sufficient condition under which the limit can be written as a convolution, and we relate this to the concepts of an impulse response and a q-response limit, and to the flawed concept of the Dirac impulse function.