Description
Book SynopsisContains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications, held March 2014. It provides an in depth look at the 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, and solenoids.
Table of Contents
- Frame theory: Phase retrieval and norm retrieval by S. Bahmanpour, J. Cahill, P. G. Casazza, J. Jasper, and L. M. Woodland
- On Lipschitz inversion of nonlinear redundant representations by R. Balan and D. Zou
- Tight and random nonorthogonal fusion frames by J. Cahill, P. G. Casazza, M. Ehler, and S. Li
- Decompositions of rational Gabor representations by V. Oussa
- Functional analysis and $C^*$-algebras: Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures by S. Bezuglyi and P. E. T. Jorgensen
- A survey of amenability theory for direct-limit groups by M. Dawson and G. Olafsson
- Explicit construction of equivalence bimodules between noncommutative solenoids by F. Latremoliere and J. A. Packer
- Harmonic analysis on manifolds: An application of hypergeometric shift operators to the $\chi$-spherical Fourier transform by V. M. Ho and G. Olafsson
- Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups by P. E. T. Jorgensen, S. Pedersen, and F. Tian
- Approximations in $L_p$-norms and Besov spaces on compact manifolds by I. Z. Pesenson
