New Perspectives on Approximation and Sampling Theory

Abstract Exact and Approximate Sampling Theorems.- Sampling in Reproducing Kernel Hilbert Space.- Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds.- On Window Methods in Generalized Shannon Sampling Operators.- Generalized sampling approximation for multivariate discontinuous signals and applications to image processing.- Signal and System Approximation from General Measurements.- Confirmation PROCESS.- Sparse Signal Processing.- Signal Sampling and Testing Under Noise.- Superoscillations.- General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators.- Variation and approximation in multidimensional setting for Mellin integral operators.- The Lebesgue Constant for Sinc Approximations.- Six (Seven) problems in frame theory.- Five good reasons for complex-valued transforms in image processing.- Frequency Determination Using the Discrete Hermite Transform.- Fractional Operators, Dirichlet Averages and Splines.- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups.- On a discrete Turán problem for l-1 radial functions.