14 citations · 14 across the 11 of their papers we have counts for
13 papers
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…
On maximal hyperplane sections of the unit ball of for
Hermann König
The maximal hyperplane section of the -ball, i.e. of the -cube, is the one perpendicular to 1/sqrt 2 (1,1,0, ... ,0), as shown by Ball. Eskenazis, Nayar and Tkocz ex…
On hyperplane sections and projections in
Hermann König
For , the hyperplane section of the -unit ball perpendicular to a^(n) = 1/sqrt(n) (1, ... ,1) for large has larger volume than the one…
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…
Non-central sections of the -ball
Hermann König
We determine the maximal non-central hyperplane sections of the n-dimensional -ball if the fixed distance of the hyperplane to the origin is between and $1 / \sq…
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…