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

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Konstantinos Drakakis

    (University College Dublin
    University College Dublin)

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.

Suggested Citation

  • Konstantinos Drakakis, 2011. "Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 491-508, Springer.
  • Handle: RePEc:spr:spochp:978-1-4614-0055-4_31
    DOI: 10.1007/978-1-4614-0055-4_31
    as

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