Dyakonov, Konstantin M.2025-01-202025-01-202023-05-020378-620Xhttps://hdl.handle.net/2445/217653We discuss the geometry of the unit ball —specifically, the structure of its extreme points (if any)— in subspaces of $L^{1}$ and $L^{\infty}$ on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in $H^{\infty}$.11 p.application/pdfengcc by (c) Konstantin M. Dyakonov, 2023http://creativecommons.org/licenses/by/3.0/es/Anàlisi harmònicaFuncions analítiquesFuncions de variables complexesEspais de HardyHarmonic analysisAnalytic functionsFunctions of complex variablesHardy spacesinfo:eu-repo/semantics/article7518112025-01-20info:eu-repo/semantics/openAccess