42 citations · 44 across the 3 of their papers we have counts for
3 papers
math.CA2007
A simplified multidimensional integral
Ágnes M. Backhausz, Vilmos Komornik, Tivadar Szilágyi
We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On t…
math.NT2007★ 42 cited
Greedy and quasi-greedy expansions in non-integer bases
Claudio Baiocchi, Vilmos Komornik
We generalize several theorems of Rényi, Parry, Daróczy and Kátai by characterizing the greedy and quasi-greedy expansions in non-integer bases.
math.CA2007★ 2 cited
Discrete Ingham type inequalities with a weakened gap condition
Paola Loreti, Vilmos Komornik
We establish discrete Ingham type and Haraux type inequalities for exponential sums satisfying a weakened gap condition. They enable us to obtain discrete simultaneous observabilit…