Sampling, Approximation, and Signal Analysis

PART I: Classical Sampling - Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin-Lebesgue norms (Schmeisser).- Asymptotic theorems for Durrmeyer sampling operators with respect to the L-norm (Vinti).- On generalized Shannon sampling operators in the cosine operator function framework (Kivinukk).- Bernstein spaces, sampling, and Riesz-Boas interpolation formulas in Mellin Analysis (Pesenson).- The behavior of frequency band limited cardinal interpolants(Madych).- The Balian-Low theorem for (Cq)-systems in shift-invariant spaces (owell).- Whittaker - type derivative sampling and (p; q) - order weighted diffrential operator (Pogany).- Shannon Sampling via Poisson, Cauchy, Jacobi and Levin (Casey).- Part (II.) Theoretical Extensions - Schoenberg's Theory of Totally Positive Functions and the Riemann Zeta Function (Groechenig).- Sampling via the Banach Gelfand Triple (Feichtinger).- Part (III.) Frame Theory - A Survey of FusionFrames in Hilbert Spaces (Koehldorfer).- Frames of iterations and vector-valued model spaces (Cabrelli).- A survey on frame representations and operator orbits (Christensen).- Three proofs of the Benedetto-Fickus theorem (Mixon).- Clifford Prolate SpheroidalWavefunctions and Associated Shift Frames (Lakey).- Part (IV.) Applications - Power Aware Analog To Digital Converters (Mulleti).- Quaternionic coupled fractional Fourier transform on Boehmians (Zayed).- Sampling : Theory and Applications - A History of the SampTA Meetings (Casey).- Accelerartion Algorithms for Iterative Methods (Marvasti).

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• Análise complexa, variáveis ??complexas
• Análise funcional e transforma
• Cálculo diferencial e equações
• Engenharia electrónica
• Processamento de sinais

J. Rowland Higgins;Sampling Theory;Cardinal Series;Time-Frequency Analysis;Wavelets;Frame Theory;Signal & Image Processing