activity
20062026
most citedGreedy and quasi-greedy expansions in non-integer bases

42 citations · 111 across the 34 of their papers we have counts for

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Showing 2007Show all

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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…