42 citations · 111 across the 34 of their papers we have counts for
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Moving and oblique observations of beams and plates
Philippe Jaming, Vilmos Komornik
We study the observability of the one-dimensional Schr{ö}dinger equation and of the beam and plate equations by moving or oblique observations. Applying different versions and adap…
A simplified construction of the Lebesgue integral
Vilmos Komornik
We present a modification of Riesz's construction of the Lebesgue integral, leading directly to finite or infinite integrals, at the same time simplifying the proofs.
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.
A vectorial Ingham-Beurling theorem
Alia Barhoumi, Vilmos Komornik, Michel Mehrenberger
Baiocchi et al. generalized a few years ago a classical theorem of Ingham and Beurling by means of divided differences. The optimality of their assumption has been proven by the th…
Explicit multidimensional Ingham--Beurling type estimates
Vilmos Komornik
Recently a new proof was given for Beurling's Ingham type theorem on one-dimensional nonharmonic Fourier series, providing explicit constants. We improve this result by applying a…
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…
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…