The Bedrosian identity for functions analytic in a neighborhood of the unit circle

DOI10.1007/S11785-011-0181-YzbMath1276.42008OpenAlexW1996757463MaRDI QIDQ371710

Charles A. Micchelli, Qiu-hui Chen

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0181-y

zbMATH Keywords

Fourier transformHilbert transformBedrosian identitygeneralized sinc function

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

Multidimensional analytic signals and the Bedrosian identity ⋮ Amplitude spaces of mono-components from Blaschke products and an intrinsic multiresolution analysis ⋮ Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions ⋮ The Bedrosian identity for \(L^p\) function and the Hardy space on tube

Cites Work

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• Bedrosian identity in Blaschke product case
• Characterization of boundary values of functions in Hardy spaces with applications in signal analysis
• Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms
• FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS
• Matrix Analysis

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