1 citations · 1 across the 4 of their papers we have counts for
5 papers
EKR Results for Cuspidal Representations of
Jiaqi Liao
Let be a cuspidal representation of . A subset is \emph{-intersecting} if $\dim_{\mathbb{C}}\{v \in \mathcal{S}_…
Geometric Perspective on Concentration Phenomena in Frame Theory
Samuel A. Ballas, Ferhat Karabatman, Tom Needham
Parseval and equal-norm frames play a fundamental role in frame theory and signal processing. It is known that a random frame, with unit vectors drawn independently from the unifor…
Optimization and the Topology of Spaces of Parseval Frames
Anthony Caine, Tom Needham, Clayton Shonkwiler
A Parseval frame is a spanning set for a Hilbert space which satisfies the Parseval identity: a vector can be expressed as a linear combination of the frame whose coefficients are…
Geometric Approaches to Matrix Normalization and Graph Balancing
Tom Needham, Clayton Shonkwiler
Normal matrices, or matrices which commute with their adjoints, are of fundamental importance in pure and applied mathematics. In this paper, we study a natural functional on the s…
On the existence of Parseval frames for vector bundles
Samuel A. Ballas, Tom Needham, Clayton Shonkwiler
Frames in finite-dimensional vector spaces are spanning sets of vectors which provide redundant representations of signals. The Parseval frames are particularly useful and importan…