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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…