A. Kulikov

collaborators

4 papers

math.CA2026

Fourier coefficients of continuous functions with sparse spectrum

Aleksei Kulikov, Miquel Saucedo, Sergey Tikhonov

Let $(r_{k})$ be an increasing sequence and $(w_{k})$ a positive sequence. We study the following question: is it true that for every sequence $(a_{k})$ satisfying $\sum_{k=0}^\infty |a_…

math.CV2026

When a meromorphic function that omits three values has a bounded type

Alexandre Eremenko, Aleksei Kulikov, Mikhail Sodin

Suppose that a function $F$ is meromorphic in the domain $H (- m) = {z : Im z > - m (Re z)}$ , where $m$ is an even, positive, and continuous function…

math.SP2026

Sharp estimates for eigenvalues of localization operators with applications to area laws

Aleksei Kulikov, Martin Dam Larsen

We study the eigenvalues of the localization operator $S_{A, B} = P_{A} F^{- 1} P_{B} F P_{A}$ , where $F$ is the Fourier transform and $A = c A_{0}, B = B_{0}$ for s…

math.CA2026

Sharp estimates for eigenvalues of localization operators before the plunge region

Aleksei Kulikov

We study two closely related yet different localization operators: the time-frequency localization operator to the pair of intervals $S_{I, J} = P_I \mathcal{F}^{-1} P_J\mathcal{F}…