• 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 ...
  • 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 ...
  • Subsequences of frames and their operators 

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