Bohman extremal problem for the Jacobi transform

DOI10.1134/S0081543818020098zbMath1395.42005OpenAlexW2804203955MaRDI QIDQ721514

Dmitry Gorbachev, Valeriĭ I. Ivanov

Publication date: 19 July 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818020098

zbMATH Keywords

Jacobi functionhyperbolic weightGauss quadrature formulas

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

Some extremal problems for the Fourier transform on the hyperboloid ⋮ Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem

Cites Work

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• Approximate Fourier analysis of distribution functions
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight
• The convolution structure for Jacobi function expansions
• Multidimensional Extremal Logan’s and Bohman’s Problems
• Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type
• Convolution roots of radial positive definite functions with compact support
• Paley–Wiener theorems for the Dunkl transform

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