Lacunary polynomials in $L^1$: geometry of the unit sphere

Abstract: Let $\Lambda$ be a finite set of nonnegative integers, and let $\mathcal P(\Lambda)$ be the linear hull of the monomials $z^k$ with $k\in\Lambda$, viewed as a subspace of $L^1$ on the unit circle. We characterize the extreme and exposed points of the unit ball in $\mathcal P(\Lambda)$.

complex variablesdynamical systems

Audience: researchers in the topic

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