This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD.It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups.Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.
Jens G. Christensen, Colgate University, Hamilton, NY, USA.Susanna Dann, Vienna University of Technology, Wien, Austria.Azita Mayeli, Queensborough Community College, CUNY, Bayside, NY, USA.Gestur Olafsson, Louisiana State University, Baton Rouge, LA, USA.
Frame theory: Phase retrieval and norm retrieval by S. Bahmanpour, J. Cahill, P. G. Casazza, J. Jasper, and L. M. WoodlandOn Lipschitz inversion of nonlinear redundant representations by R. Balan and D. ZouTight and random nonorthogonal fusion frames by J. Cahill, P. G. Casazza, M. Ehler, and S. LiDecompositions of rational Gabor representations by V. OussaFunctional analysis and $C^*$-algebras: Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures by S. Bezuglyi and P. E. T. JorgensenA survey of amenability theory for direct-limit groups by M. Dawson and G. OlafssonExplicit construction of equivalence bimodules between noncommutative solenoids by F. Latremoliere and J. A. PackerHarmonic analysis on manifolds: An application of hypergeometric shift operators to the $\chi$-spherical Fourier transform by V. M. Ho and G. OlafssonHarmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups by P. E. T. Jorgensen, S. Pedersen, and F. TianApproximations in $L_p$-norms and Besov spaces on compact manifolds by I. Z. Pesenson