Strong divergence for system approximations

DOI10.1134/S0032946015030047zbMath1367.94079arXiv1505.03057OpenAlexW1501072197MaRDI QIDQ259881

Holger Boche, Ullrich J. Mönich

Publication date: 18 March 2016

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03057

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (4)

Spaceability and strong divergence of the Shannon sampling series and applications ⋮ Limits of calculating the finite Hilbert transform from discrete samples ⋮ On the strong divergence of Hilbert transform approximations and a problem of Ul'yanov ⋮ Strong divergence for system approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong divergence for system approximations
• Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers
• On modified Runge-Kutta trees and methods
• On limits of sequences of operators
• Advanced topics in system and signal theory. A mathematical approach
• On nonlinear condensation principles with rates
• Optimal kernels for a general sampling theorem
• A quantitative condensation of singularities on arbitrary sets
• The sampling theorem and linear prediction in signal analysis
• Strong divergence of reconstruction procedures for the Paley-Wiener space \(\mathcal{PW}_\pi^1\) and the Hardy space \(\mathcal{H}^1\)
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• System Approximations and Generalized Measurements in Modern Sampling Theory
• A confidence limit for the empirical mode decomposition and Hilbert spectral analysis
• Classical Fourier Analysis
• On the Calculation of the Hilbert Transform From Interpolated Data
• Five short stories about the cardinal series
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
• An Impossibility Result for Linear Signal Processing Under Thresholding
• The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines
• A Random Banach-Steinhaus Theorem
• Signal and System Approximation from General Measurements
• Behavior of the Quantization Operator for Bandlimited, Nonoversampled Signals
• A nonlinear Banach–Steinhaus theorem and some meager sets in Banach spaces

This page was built for publication: Strong divergence for system approximations