activity
19922023
most citedThe Kadison-Singer Problem in Mathematics and Engineering

126 citations · 348 across the 94 of their papers we have counts for

collaborators

102 papers

math.CO2023

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…

math.FA2023★ 5 cited

A Survey of Fusion Frames in Hilbert Spaces

Lukas Köhldorfer, Peter Balazs, Pete Casazza +4

Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image pro…

math.FA2023

Classifying weak phase retrieval

P. G. Casazza, F. Akrami

We will give several surprising equivalences and consequences of weak phase retrieval. These results give a complete understanding of the difference between weak phase retrieval an…

math.FA2022

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…

math.FA2022

New characterizations of the unit vector basis of or

Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova +1

Motivated by Altshuler's famous characterization of the unit vector basis of or among symmetric bases, we obtain similar characterizations among democratic bases and…

math.FA2022★ 1 cited

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…