Yunlei Wang

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20232026

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math.CA2026

Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity

Yunlei Wang

We study how sparsely a nonzero discrete harmonic function on the standard lattice $Z^{d}$ can be supported. Let $Q_{n}^{(d)} = {- n, \dots, n}^{d}$ , and let $m_{d} (n)$ denote the l…

math.CA2024

On L1-norms for non-harmonic trigonometric polynomials with sparse frequencies

Philippe Jaming, Karim Kellay, Chadi Saba +1

In this paper we show that, if an increasing sequence $Λ = (λ_{k})_{k \in Z}$ has gaps going to infinity $λ_{k + 1} - λ_{k} \to + \infty$ when $k \to \pm \infty$ , then for every $T > 0$ and…