Bivariate Generalized Exponential Sampling Series and Applications to Seismic Waves

DOI10.33205/CMA.594066zbMath1463.42073OpenAlexW2969020962WikidataQ115488034 ScholiaQ115488034MaRDI QIDQ4971539

M. Seracini, Carlo Bardaro, Ilaria Mantellini, Giada Bevignani

Publication date: 12 October 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.594066

zbMATH Keywords

momentsmagnitudebivariate generalized exponential sampling seriesMellin-Taylor formulae

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Related Items (11)

Multidimensional Kantorovich modifications of exponential sampling series ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Semi‐discrete operators in multivariate setting: Convergence properties and applications ⋮ On a new approach in the space of measurable functions ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ On the generalized Mellin integral operators ⋮ On bivariate Kantorovich exponential sampling series ⋮ Approximation by multivariate max-product Kantorovich exponential sampling operators ⋮ Multi-fidelity analysis and uncertainty quantification of beam vibration using co-kriging interpolation method ⋮ On Approximation by Kantorovich Exponential Sampling Operators ⋮ Generalized Kantorovich forms of exponential sampling series

Cites Work

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• On the Paley-Wiener theorem in the Mellin transform setting
• A note on the Voronovskaja theorem for Mellin-Fejér convolution operators
• A direct approach to the Mellin transform
• Exponential sampling series: convergence in Mellin-Lebesgue spaces
• Prediction of Non-Bandlimited Signals from Past Samples in Terms of Splines of Low Degree
• A generalization of the exponential sampling series and its approximation properties
• A fresh approach to the Paley–Wiener theorem for Mellin transforms and the Mellin–Hardy spaces
• Discrete operators of sampling type and approximation in ‐variation
• A characterization of the convergence in variation for the generalized sampling series
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• On Window Methods in Generalized Shannon Sampling Operators
• Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

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