Sinopsis
Part I Sampling.- Convergence and Summability of Cardinal Series.- Improved Approximation via Use of Transformations.- Generalized Sampling In L2(Rd) Shift-Invariant Subspaces With Multiple Stable Generators.- Function Spaces for Sampling Expansions.- Coprime Sampling And Arrays In One And Multiple Dimensions.- Chromatic Expansions and the Bargmann Transform.- Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems.- Constructions and a generalization of perfect autocorrelation sequences on Z.- Part II Multiscale Analysis.- A unified theory for multiscale analysis of complex time series.- Wavelet Analysis of ECG Signals.- Multiscale signal processing with discrete Hermite functions.- Local Discriminant Basis Using Earth Mover's Distance Earth Mover's Distance Based Local Discriminant Basis.- Part III statistical Analysis.- Characterizations of Certain Continuous Distributions.- Bayesian Wavelet Shrinkage Strategies - A Review.- Multi-parameter regularization for construction of extrapolating estimators in statistical learning theory.
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