Now showing items 1-12 of 12

  • Applied problems in frame theory 

    Botelho-Andrade, Sara (University of Missouri--Columbia, 2019)
    This thesis is a study of two applied problems in frame theory: phase retrieval and quantum detection. These problems are inspired by engineering applications in signal processing and information theory. ... The goal of ...
  • Complemented block bases of symmetric bases and spectral tetris fusion frame constructions 

    Heinecke, Andreas (University of Missouri--Columbia, 2012)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented ...
  • Existence and construction of real-valued equiangular tight frames 

    Redmond, Daniel Joseph (University of Missouri--Columbia, 2009)
    This paper presents results on real-valued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ...
  • Frames and applications : distribution of frame coeficients, integer frames and phase retrieval 

    Woodland, Lindsey M. (University of Missouri--Columbia, 2015)
    The present dissertation is divided into two main areas: frame theoretic results and applications of frames. In particular, the beginning half develops the first detailed theory of the distribution of frame coefficients. ...
  • Frames and projections 

    Cahill, Jameson (University of Missouri--Columbia, 2013)
    In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ...
  • Frames and subspaces 

    Cheng, Desai (University of Missouri--Columbia, 2018)
    This thesis will consist of three parts. In the first part we find the closest probabilistic Parseval frame to a given probabilistic frame in the 2 Wasserstein Distance. It is known that in the traditional [symbol]2 distance ...
  • Frames with desired angle properties 

    Tran, Tin Thien (University of Missouri--Columbia, 2020)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The purpose of this dissertation is to study frames with desired angle properties. More precisely, we study the subspace packing problem, harmonic ...
  • Fusion frame constructions and frame partitions 

    Peterson, Jesse D. (University of Missouri--Columbia, 2013)
    Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ...
  • Outer products and frame coefficients / 

    Pinkham, Eric, 1987- (University of Missouri--Columbia, 2017)
    In this dissertation, we will examine two distinct areas of frame theory. The first will be the area of outer products. In particular, we will examine the spanning and independence properties of the collection [see abstract ...
  • Phase retrieval in frame theory 

    Ghoreishi, Dorsa (University of Missouri--Columbia, 2020)
    This dissertation is the study of phase retrieval in frame theory. The first part is concerned with the analysis of phase retrieval and the complete classification of norm retrieval. Norm retrieval is essential to transfer ...
  • Properties of frames and relationships between them with emphasis on subframes and unconditional convergence 

    Bemrose, Travis (University of Missouri--Columbia, 2016)
    [ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.]
  • Subsequences of frames and their operators 

    Lynch, Richard G. (Richard Gerald) (University of Missouri--Columbia, 2016)