Browsing Institutt for matematiske fag by Journals "Complex Analysis and its Synergies"
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On the Three Ball Theorem for Solutions of the Helmholtz Equation
(Journal article, 2021)Let $u_k$ be a solution of the Helmholtz equation with the wave number $k$, $\Delta u_k+k^2 u_k=0$, on (a small ball in) either $\mathbb{R}^n$, $\mathbb{S}^n$, or $\mathbb{H}^n$. For a fixed point $p$, we define ... -
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
(Journal article, 2024)We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs. Evaluating the resulting holomorphic ...