On optimal bound of Foschi's quadratic functional in higher-dimensional spheres

DOI10.1007/S10231-021-01092-8zbMath1471.33006OpenAlexW3135002277MaRDI QIDQ2048651

Yanyan Li

Publication date: 23 August 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01092-8

zbMATH Keywords

spherical harmonicsspectral decompositionGegenbauer polynomialgeneralized hypergeometric functionsSaalschütz theoremsphere adjoint Fourier restriction inequality

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Cites Work

• Global maximizers for the sphere adjoint Fourier restriction inequality
• Some Sharp Restriction Inequalities on the Sphere
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