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math.CV2022
Functionals with extrema at reproducing kernels
Aleksei Kulikov
We show that certain monotone functionals on the Hardy spaces and convex functionals on the Bergman spaces are maximized at the normalized reproducing kernels among the functions o…
math.CV2020
Spectral synthesis for exponentials and logarithmic length
Anton Baranov, Yurii Belov, Aleksei Kulikov
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function is small outside of a lacunary sequence of intervals…
math.CV2018
On the Heins Theorem
Aleksei Kulikov
It is known that the famous Heins Theorem (also known as the de Branges Lemma) about the minimum of two entire functions of minimal type does not extend to functions of finite expo…