3 papers
math.FA2025
Maximal sections of the unit ball of for
Jacek Jakimiuk, Hermann König
Eskenazis, Nayar and Tkocz have shown recently some resilience of Ball's celebrated cube slicing theorem, namely its analogue in for large . We show that the complex ana…
math.FA2025
Non-central sections of the regular n-simplex
Hermann König
We show that the maximal non-central hyperplane sections of the regular n-simplex of side-length sqrt 2 at a fixed distance t to the centroid are those parallel to a face of the si…
math.FA2024
A remark on the rigidity of a property characterizing the Fourier transform
Hermann König, Vitali Milman
We show rigidity results for the operator equations T(f.g) = Tf.Tg, T(f*g) = Tf.Tg and T(f.g) = Tf*Tg for bijective operators T acting on sufficently large spaces of smooth functio…