3 papers
math.FA2026
Conference signals: Applications, existence, and constructions
Kean Fallon, Joseph W. Iverson
A conference signal is a complex-valued function on a finite abelian group that vanishes at 0 in both the time and frequency domains, and is otherwise flat in both domains. For exa…
math.FA2025
Equiangular tight frames in real symplectic space: Zauner's conjecture and the skew Hadamard conjecture
Kean Fallon
We introduce the notion of equiangular tight frames in real symplectic spaces and formulate a conjecture on their existence in terms of the dimension and number of vectors. Our mai…
math.MG2023
On the optimal arrangement of lines in
Kean Fallon, Joseph W. Iverson
We show the optimal coherence of lines in is given by the Welch bound whenever a skew Hadamard of order exists. Our proof uses a variant of Hadamard dou…