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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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Fourier dimension of the sum of sets

The set L of all Liouville numbers is an explicit example of a 0-dimensional Salem set such that its sum-set equals the whole real line, that is, L+L=R. Thus, dimF(L) = 0 and dimF( L+L) =1. For the …
Ioannis Tsokanos's user avatar