Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem

Valter Moretti, Davide Pastorello

Consider a finite dimensional complex Hilbert space $\cH$, with $dim(\cH) \geq 3$, define $\bS(\cH):= \{x\in \cH \:|\: ||x||=1\}$, and let $ν_\cH$ be the unique regular Borel posit…