Sampling, Approximation, and Signal Analysis

Chapter 1 Classical and Approximate Exponential Sampling Formula: Their Interconnections in Uniform and Mellin–Lebesgue Norms

Chapter 2 Asymptotic Theorems for Durrmeyer Sampling Operators with Respect to the L p $$L^p$$ -Norm

Chapter 3 On Generalized Shannon Sampling Operators in the Cosine Operator Function Framework

Chapter 4 Bernstein Spaces, Sampling, and Riesz-Boas Interpolation Formulas in Mellin Analysis

Chapter 5 The Behavior of Frequency Bandlimited Cardinal Interpolants

Chapter 6 The Balian-Low Theorem for ( C q ) $$(C_q)$$ -Systems in Shift-Invariant Spaces

Chapter 7 Whittaker-Type Derivative Sampling and ( p , q ) $$(p, q)$$ -Order Weighted Differential Operator

Chapter 8 Shannon Sampling Theorem via Poisson, Cauchy, Jacobi, and Levin

Chapter 9 Schoenberg’s Theory of Totally Positive Functions and the Riemann Zeta Function

Chapter 10 Sampling via the Banach Gelfand Triple

Chapter 11 A Survey of Fusion Frames in Hilbert Spaces

Chapter 12 Frames of Iterations and Vector-Valued Model Spaces

Chapter 13 A Survey on Frame Representations and Operator Orbits

Chapter 14 Three Proofs of the Benedetto–Fickus Theorem

Chapter 15 Clifford Prolate Spheroidal Wavefunctions and Associated Shift Frames

Chapter 16 Power-Aware Analog to Digital Converters

Chapter 17 Quaternionic Coupled Fractional Fourier Transform on Boehmians

Chapter 18 Multiscale Tree Sampling Regularization of Inverse Spherical Pseudodifferential Equations

Chapter 19 Acceleration Algorithms for Iterative Methods