Representation of weakly additive operators-Reference-Cited by-同舟云学术

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Representation of weakly additive operators

Published:1976 Issue:1 Volume:59 Page:55-61
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Decarlo R. A.,Saeks R.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-059-01/S0002-9939-1976-0412917-9/S0002-9939-1976-0412917-9.pdf

Reference9 articles.

1. A. Gersho, Nonlinear systems with a restricted additivity property, IEEE Trans. Circuit Theory 16 (1969), 150-154.

2. A contribution to the theory of nonlinear systems;Zadeh, L. A.;J. Franklin Inst.,1953

3. Lossless nonlinear networks;Winslow, L.;IEEE Trans. Circuit Theory,1972

4. R. M. DeSantis, Causality structure of engineering systems, Ph. D. Thesis, Univ. of Michigan, Ann Arbor, Mich., 1971.

5. R. DeCarlo, A distributional characterization of a weakly additive system, M. S. Thesis, Univ. of Notre Dame, Notre Dame, Ind., 1973.

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