%0 Journal Article %A A. K. Kushpel %T John--L\"{o}wner ellipsoids and entropy of multiplier operators on rank~$1$ compact homogeneous manifolds %J Sbornik. Mathematics %D 2025 %P 210-238 %V 216 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2025_216_2_a2/ %G en %F SM_2025_216_2_a2