S. Tikhonov

activity

20162026

collaborators

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3 papers · 1 filter

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.CA2026

A Logvinenko-Sereda theorem for lacunary spectra

Miquel Saucedo, Sergey Tikhonov

For a function $F$ represented as $F (x) = \sum_{n = 0}^{\infty} f_{n} (x) e^{2 π i λ_{n} x},$ where each $f_{n}$ satisfies $spec (f_{n}) \subset [0, 1]$ and $(λ_n)_{n\geq 0}\subset…

math.CA2026

Heisenberg's inequality in $L^{p}$

Miquel Saucedo, Sergey Tikhonov

In this paper, we obtain non-symmetric and symmetric versions of the classical Heisenberg-Pauli-Weyl uncertainty principle in Lebesgue spaces with power weights.

Fourier coefficients of continuous functions with sparse spectrum

A Logvinenko-Sereda theorem for lacunary spectra

Heisenberg's inequality in Lp

Heisenberg's inequality in $L^{p}$