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

Konstantinos Drakakis ()
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Konstantinos Drakakis: University College Dublin

Chapter Chapter 31 in Functional Equations in Mathematical Analysis, 2011, pp 491-508 from Springer

Abstract: Abstract The 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.

Keywords: Costas arrays; Costas bijections; Cauchy functional equation; Nowhere continuous; Everywhere dense; Euclidean spaces (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_31

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

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