13 citations · 36 across the 22 of their papers we have counts for
6 papers · 1 filter
Optimal line packings from nonabelian groups
Joseph W. Iverson, John Jasper, Dustin G. Mixon
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, whic…
The Schur-Horn theorem for unbounded operators with discrete spectrum
Marcin Bownik, John Jasper, Bartłomiej Siudeja
We characterize diagonals of unbounded self-adjoint operators on a Hilbert space H that have only discrete spectrum, i.e., with empty essential spectrum. Our result extends the Sch…
Polyphase equiangular tight frames and abelian generalized quadrangles
Matthew Fickus, John Jasper, Dustin G. Mixon +2
An equiangular tight frame (ETF) is a type of optimal packing of lines in a finite-dimensional Hilbert space. ETFs arise in various applications, such as waveform design for wirele…
Thompson's theorem for compact operators and diagonals of unitary operators
John Jasper, Jireh Loreaux, Gary Weiss
As applications of Kadison's Pythageorean and carpenter's theorems, the Schur-Horn theorem, and Thompson's theorem, we obtain an extension of Thompsons theorem to compact operators…
Equiangular tight frames from hyperovals
Matthew Fickus, Dustin G. Mixon, John Jasper
An equiangular tight frame (ETF) is a set of equal norm vectors in a Euclidean space whose coherence is as small as possible, equaling the Welch bound. Also known as Welch-bound-eq…
Tremain equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon +1
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangu…