2 citations · 5 across the 6 of their papers we have counts for
9 papers · 1 filter
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…
Constructions and properties of optimally spread subspace packings via symmetric and affine block designs and mutually unbiased bases
Peter G. Casazza, John I. Haas, Joshua Stueck +1
We continue the study of optimal chordal packings, with emphasis on packing subspaces of dimension greater than one. Following a principle outlined in a previous work, where the au…