Jacobi transplantations and Weyl integrals

DOI10.1007/BF03191242zbMath1190.42011OpenAlexW2019120353MaRDI QIDQ972122

Viktor I. Kolyada, Luz Roncal

Publication date: 25 May 2010

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03191242

zbMATH Keywords

BMOFourier coefficientstransplantationJacobi seriesHardy space Re \(H^1\)

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• On the behavior of special classes of ultraspherical expansions. I, II
• Transplantation theorem for Jacobi series in weighted Hardy spaces. II
• Transplantation theorems for ultraspherical polynomials in \(\operatorname{Re}H^{1}\) and BMO
• A transplantation theorem between ultraspherical series
• A transplantation theorem for Jacobi series
• A transplantation theorem for the Hankel transform on the Hardy space
• Jacobi transplantation revisited
• A transplantation theorem for ultraspherical polynomials at critical index
• Transplantation theorems and multiplier theorems for Jacobi series
• On multipliers preserving convergence of trigonometric series almost everywhere
• Maximal Theorems for Some Orthogonal Series. I