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math.SP2026
Generic properties of the Laplace spectrum and eigenfunctions
Oliver Fürst, Eva-Maria Hekkelman, Malte Leimbach
We prove that the spectrum of the Laplace--Beltrami operator on compact Riemannian manifolds without boundary is generically linearly independent over . Furthermore, we…
math.OA2026
Operator systems and positive extensions over discrete groups
Evgenios T. A. Kakariadis, Malte Leimbach, Ivan G. Todorov +1
The extension problem asks whether positive semi-definite functions on a symmetric unital subset of a discrete group can be extended to positive semi-definite functions on the whol…