To date, frames have established themselves as a standard notion in applied mathematics,
computer science, and engineering as a means to derive redundant, yet stable …

We use the method of interlacing polynomials introduced in our previous article to prove two
theorems known to imply a positive solution to the Kadison–Singer problem. The first is …

The classical subject of bases in Banach spaces has taken on a new life in the modern
development of applied harmonic analysis. This textbook is a self-contained introduction to …

Recent advances in convex optimization have led to new strides in the phase retrieval
problem over finite-dimensional vector spaces. However, certain fundamental questions …

" The early chapters contain the topics from linear algebra that students need to know in
order to read the rest of the book. The later chapters are devoted to advanced topics, which …

Motivated by recent progress in dynamical sampling we prove that every frame which is
norm-bounded below can be represented as a finite union of sequences {(T j) n φ j} n= 0∞ …

We investigate the optimal configurations of n points on the unit sphere for a class of
potential functions. In particular, we characterize these optimal configurations in terms of …

We develop a natural generalization of vector-valued frame theory, which we term operator-
valued frame theory, using operator-algebraic methods. This extends work of the second …

A brief introduction to Hilbert space frame theory and its applications Page 16 Proceedings
of Symposia in Applied Mathematics Volume 73 , 2016 http://dx. doi. org/10.1090/psapm/073/00627 …

We sharpen the constant in the KS 2 Conjecture of Weaver that was given by Marcus,
Spielman and Srivastava in their solution of the Kadison–Singer problem. We then apply this …