On the arithmetic sum of middle-cantor sets
Author
Muñoz, Eduardo
Vera, Jaime
Plaza, Sergio
Abstract
In this article we study the arithmetic sum (difference) set K⍺ + Kβ in I = [0, 1] in terms of the parameters (⍺, β) ∊ I x I, where K⍺ and Kβ are middle-Cantor sets contained in I. We describe two regions, A and B, in the parameter space (⍺, β) where the characterization of the arithmetic sum set K⍺ + Kβ is given.