126 citations · 163 across the 16 of their papers we have counts for
18 papers
Real matrices whose columns have equal modulus coordinates
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +2
We study matrices whose columns are of the form \[\{(a_{1j},\ldots, a_{nj}): \quad a_{1j} = λ_j,\ a_{ij} = \pmλ_j\ , \ λ_j >0 ,\ j=1,2,\ldots,n\}.\] We explicitly cons…
Regular two distance sets
Peter G. Casazza, Tin T. Tran, Janet C. Tremain
This paper makes a deep study of regular two-distance sets. A set of unit vectors in Euclidean space $\RR^n$ is said to be regular two-distance set if the inner product of any…
Phase retrieval by hyperplanes
Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +4
We show that a scalable frame does phase retrieval if and only if the hyperplanes of its orthogonal complements do phase retrieval. We then show this result fails in general by giv…
Constructions of biangular tight frames and their relationships with equiangular tight frames
John I. Haas, Jameson Cahill, Janet Tremain +1
We study several interesting examples of Biangular Tight Frames (BTFs) - basis-like sets of unit vectors admitting exactly two distinct frame angles (ie, pairwise absolute inner pr…
Norm retrieval and phase retrieval by projections
Peter G. Casazza, Dorsa Ghoreishi, Shani Jose +1
We make a detailed study of norm retrieval. We give several classification theorems for norm retrieval and give a large number of examples to go with the theory. One consequence is…
Weak phase retrieval and phaseless reconstruction
Sara Botello-Andrade, Peter G. Casazza, Dorsa Ghoreishi +2
Phase retrieval and phaseless reconstruction for Hilbert space frames is a very active area of research. Recently, it was shown that these concepts are equivalent. In this paper, w…