29 citations · 98 across the 37 of their papers we have counts for
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Cantor type functions in non-integer bases
Claudio Baiocchi, Vilmos Komornik, Paola Loreti
Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behav…
Ingham type inequalities in lattices
Vilmos Komornik, Anna Chiara Lai, Paola Loreti
A classical theorem of Ingham extended Parseval's formula of the trigonometrical system to arbitrary families of exponentials satisfying a uniform gap condition. Later his result w…
A Bernstein type inequality
Vilmos Komornik, Paola Loreti
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
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…