2 citations · 4 across the 5 of their papers we have counts for
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Positive bases in spaces of polynomials
Bálint Farkas, Szilárd Gy. Révész
For a nonempty compact set D of R we determine the maximal possible dimension of a subspace X of polynomial functions of degree at most m which possesses a positive bases (where po…
Transfinite diameter, Chebyshev constant and energy on locally compact spaces
Balint Farkas, Bela Nagy
We study the relationship between transfinite diameter, Chebyshev constant and Wiener energy in the abstract linear potential analytic setting pioneered by Choquet, Fuglede and Oht…
Invariant decomposition of functions with respect to commuting invertible transformations
Bálint Farkas, Viktor Harangi, Tamás Keleti +1
Consider a_1,a_2,...,a_n, arbitrary elements of R. We characterize those real functions f that decompose into the sum of a_j-periodic functions, i.e., f=f_1+...+f_n with D_{a_j}f(x…
On Fuglede's conjecture and the existence of universal spectra
Bálint Farkas, Máté Matolcsi, Péter Móra
Recent methods developed by Tao \cite{tao}, Kolountzakis and Matolcsi \cite{nspec} have led to counterexamples to Fugelde's Spectral Set Conjecture in both directions. Namely, in $…