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Representation of weakly additive operators


Authors: R. A. Decarlo and R. Saeks
Journal: Proc. Amer. Math. Soc. 59 (1976), 55-61
MSC: Primary 47H99
DOI: https://doi.org/10.1090/S0002-9939-1976-0412917-9
MathSciNet review: 0412917
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Abstract: This paper characterizes a class of nonlinear operators termed ``weakly additive". A distributional kernel representation is constructed. A counterexample to a conjecture by Gersho is then given via the distributional kernel formulation.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0412917-9
Keywords: Distribution, causal continuous translation invariant nonlinear operator, kernel, memoryless nonlinearity
Article copyright: © Copyright 1976 American Mathematical Society