Representations, Wavelets, and Frames

Classical and Abstract Harmonic Analysis.- Some Riemann Sums Are Better Than Others.- Gelfand Pairs Associated with Finite Heisenberg Groups.- Groups with Atomic Regular Representation.- Wavelet Transforms and Admissible Group Representations.- Frames and Multiresolution Structures.- The Density Theorem and the Homogeneous Approximation Property for Gabor Frames.- Recent Developments on Dual Wavelet Frames.- Characteristic Wavelet Equations and Generalizations of the Spectral Function.- Baggett’s Problem for Frame Wavelets.- Wavelet Sets.- Simple Wavelet Sets for Scalar Dilations in ?2.- Interpolation Maps and Congruence Domains for Wavelet Sets.- Applications to Dynamical Systems and C*-Algebras.- Orthogonal Exponentials for Bernoulli Iterated Function Systems.- A Survey of Projective Multiresolution Analyses and a Projective Multiresolution Analysis Corresponding to the Quincunx Lattice.- Signal and Image Processing.- Sampling and Time-Frequency Localization of Band-Limited and Multiband Signals.- Entropy Encoding in Wavelet Image Compression.