Browsing NTNU Open by Author "Instanes, Sarah May"
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F. Wiener’s Trick and an Extremal Problem for H<sup>p</sup>
Brevig, Ole Fredrik; Grepstad, Sigrid; Instanes, Sarah May (Peer reviewed; Journal article, 2022)For 0<p≤∞, let Hp denote the classical Hardy space of the unit disc. We consider the extremal problem of maximizing the modulus of the kth Taylor coefficient of a function f∈Hp which satisfies ∥f∥Hp≤1 and f(0)=t for some ... -
Faktorisering i Hardy-rom
Instanes, Sarah May (Bachelor thesis, 2020)Vi definerer Blaschke-produkt og viser Riesz-faktoriseringen for funksjoner i Hardy-rom. Dette bruker vi til å vise den isoperimetriske ulikheten. -
Riesz bases of exponentials for finite unions of intervals
Instanes, Sarah May (Master thesis, 2022)I denne oppgaven studerer vi Riesz-basiser av eksponentialfunksjoner for rommet $L^2(\Omega)$, der $\Omega \subset \bb{R}^d$. Hovedfokuset i oppgaven er å presentere Kozma og Nitzan sitt bevis for at det finnes en Riesz-basis ...