The 17 papers examine frame theory and its applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory. Among the topics are tight and full spark Chebyshev frames with real entries and worst-case coherence analysis, spectral properties of an operator polynomial with coefficients in a Banach algebra, the invertibility of graph translation and support of Laplacian Fiedler vectors, p-Riesz bases in quasi-shift invariant spaces, and a matrix characterization of boundary representation of positive matrices in the Hardy space. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
P. G. Casazza, J. Cahill, J. I. Haas, and J. C. Tremain, Constructions
of biangular tight frames and their relationships with equiangular tight
frames
S. Botelho-Andrade, P. G. Casazza, D. Cheng, J. Haas, T. T. Tran, J. C.
Tremain, and Z. Xu, Phase retrieval by hyperplanes
D. Ellis, E. Hayashi, and S. Li, Tight and full spark Chebyshev frames with
real entries and worst-case coherence analysis
R. Aceska, J.-L. Bouchot, and S. Li, Fusion frames and distributed sparsity
M. Bownik, The Kadison-Singer problem
A. G. Baskakov and I. A. Krishtal, Spectral properties of an operator
polynomial with coefficients in a Banach algebra
X. Chen, Kaczmarz algorithm, row action methods, and statistical learning
algorithms
R. Balan, M. Singh, and D. Zou, Lipschitz properties for deep convolutional
networks
M. Begue and K. A. Okoudjou, Invertibility of graph translation and support
of Laplacian Fiedler vectors
J.-P. Gabardo, Weighted convolution inequalities and Beurling density
L. De Carli and P. Vellucci, $p$-Riesz bases in quasi shift invariant spaces
D. E. Dutkay and I. Kraus, On spectral sets of integers
I. Long, Spectral fractal measures associated to IFS's consisting of three
contraction mappings
J. E. Herr, P. E. T. Jorgensen, and E. S. Weber, A matrix characterization of
boundary representations of positive matrices in the Hardy space
M. Mohammad and E.-B. Lin, Gibbs effects using Daubechies and Coiflet tight
framelet systems
Y. H. Kim, Conditions on shape preserving of stationary polynomial
reproducing subdivision schemes
D. Alpay, P. E. T. Jorgensen, and I. Lewkowicz, $W$-Markov measures, transfer
operators, wavelets and multiresolutions.
Yeonhyang Kim, Central Michigan University, Mount Pleasant, MI.
Sivaram K. Narayan, Central Michigan University, Mount Pleasant, MI.
Gabriel Picioroaga, University of South Dakota, Vermillion, SD.
Eric S. Weber, Iowa State University, Ames, IA.
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