Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces

Konstantinos Drakakis

doi:10.1007/978-1-4614-0055-4_31

Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces

Konstantinos Drakakis

https://doi.org/10.1007/978-1-4614-0055-4_31

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Publication Date: Jan 1, 2011

Citations: 11

Affiliation: University College Dublin

#Costas Property #Functional Equation + Show 5 more

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Abstract

AbstractThe definition of the Costas property is abstracted in the context of a group. Accordingly, using discontinuous solutions of Cauchy’s functional equation, nowhere continuous Costas bijections are studied that satisfy the Costas property, and possess, in addition, dense graphs.KeywordsCostas arraysCostas bijectionsCauchy functional equationNowhere continuousEverywhere denseEuclidean spaces

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