Abstract
The theory of linear and nonlinear systems, used in electronics, signal processing and telecommunications, is mathematically clarified by extending the operators considered in the theory from spaces of functions to the space of distributions. In case of nonlinear systems, expressed by infinite sums of homogeneous systems of degree k called the Taylor and Volterra series, the extension requires, in particular, a justification of the operation of the kth power of the Dirac delta distribution. This is accomplished due to the notion of neutrix product of distributions meant in a wider sense than it was considered before.
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