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 …

Studies of various reproducing function systems emphasized the role of translations and the
Fourier periodization function. These influenced the development of the concept of dual …

We provide a general program for finding nice arrangements of points in real or complex
projective space from transitive actions of finite groups. In many cases, these arrangements …

In this paper we study the properties of multiplication invariant (MI) operators acting on
subspaces of the vector-valued space L 2 (X; H). We characterize such operators in terms of …

We investigate the structure of subspaces of a Hilbert space that are invariant under unitary
representations of a discrete group. We work with square integrable representations, and we …

In this paper, we study (G, α)-frames for finite dimensional Hilbert spaces, where G is a finite
group and α is a unitary Schur multiplier of G. We apply the characterizations for tight (G, α) …

We present a survey of research on orbits of unitary representations developed under the
guidance and leadership of Guido Weiss in the last 20 years. This line of research started …

In the literature, frames generated by unitary representations of groups (known as group-
frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces …

Consider a unitary dual integrable representation Π of an LCA group G on a separable
Hilbert space H. In this paper, we provide answers to several questions, centered around the …

We use group schemes to construct optimal packings of lines through the origin. In this
setting, optimal line packings are naturally characterized using representation theory, which …