On a localized Parseval identity for the finite Hilbert transform

DOI10.1007/s00041-022-09974-yOpenAlexW4307572778MaRDI QIDQ2097678

Yanyan Li

Publication date: 14 November 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-022-09974-y

zbMATH Keywords

Parseval identityfinite Hilbert transformChebychev polynomials

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• Hilbert transforms and the equidistribution of zeros of polynomials
• A remark on the arcsine distribution and the Hilbert transform
• Cauchy non-integral formulas
• Extensions of Hardy spaces and their use in analysis
• ON THE FINITE HILBERT TRANSFORMATION
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