W. Arendt

activity

20102023

most citedMapping theorems for Sobolev-spaces of vector-valued functions

25 citations · 97 across the 23 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.SP2020

Disjointness-preserving operators and isospectral Laplacians

Wolfgang Arendt, James B. Kennedy

All the known counterexamples to Kac' famous question "can one hear the shape of a drum", i.e., does isospectrality of two Laplacians on domains imply that the domains are congruen…

math.SP2019

In Koenigs' footsteps: Diagonalization of composition operators

Wolfgang Arendt, Benjamin Célariès, Isabelle Chalendar

Let $φ : D \to D$ be a holomorphic map with a fixed point $α \in D$ such that $0 \leq ∣ φ^{'} (α) ∣ < 1$ . We show that the spectrum of the composition operator $C_{φ}$ …