Recent years have seen significant advances in the study of symmetric informationally
complete (SIC) quantum measurements, also known as maximal sets of complex …

This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …

A finite frame for a finite dimensional Hilbert space is simply a spanning sequence. We show
that the linear functionals given by the dual frame vectors do not depend on the inner …

In the present paper, we study frames for finite-dimensional vector spaces over an arbitrary
field. We develop a theory of dual frames in order to obtain and study the different …