2 citations · 6 across the 9 of their papers we have counts for
10 papers
On phase and norm retrieval by subspaces
Tin T. Tran, Phung T. Huynh
This paper studies phase and norm retrieval by subspaces. We first investigate norm retrieval by hyperplanes. We show that if hyperplanes $\{φ_i^\perp\}_{i=1}^N\subset \mathbb{…
Remarks on scalable frames
Peter G. Casazza, Laura De Carli, Tin T. Tran
This paper investigates scalable frame in . We define the reduced diagram matrix of a frame and use it to classify scalability of the frame under some conditions. We…
Piecewise scalable frames
Peter G. Casazza, Laura De Carli, Tin T. Tran
In this paper we define "piecewise scalable frames". This new scaling process allows us to alter many frames to Parseval frames which is impossible by the previous standard scaling…
The core of a Grassmannian frame
Peter G. Casazza, Ian Campbell, Tin T. Tran
Let be a set of unit vectors in $\RR^n$. The coherence of is $\coh(X):=\max_{i\not=j}|\langle x_i, x_j\rangle|$. A vector is said to be isolable if…
A notion of optimal packings of subspaces with mixed-rank and solutions
Peter G. Casazza, John I. Haas, Joshua Stueck +1
We resolve a longstanding open problem by reformulating the Grassmannian fusion frames to the case of mixed dimensions and show that this satisfies the proper properties for the pr…
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…