Probabilistic Marcinkiewicz-Zygmund inequalities on the rotation group

DOI10.1007/s11004-010-9277-6zbMath1210.43009OpenAlexW1964922045MaRDI QIDQ600856

Dominik Schmid, Manuel Gräf

Publication date: 3 November 2010

Published in: Mathematical Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11004-010-9277-6

zbMATH Keywords

rotation groupscattered datarandom polynomialsMarcinkiewicz-Zygmund inequalitiesWigner D-functions

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75)

Related Items (1)

On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms

Cites Work

• Stability results for scattered data interpolation on the rotation group
• Kernel-based methods for inversion of the Radon transform on SO(3) and their applications to texture analysis
• Stability results for approximation by positive definite functions on \(SO(3)\)
• Probabilistic spherical Marcinkiewicz-Zygmund inequalities
• A fast algorithm for nonequispaced Fourier transforms on the rotation group
• The norm of the product of a large matrix and a random vector
• Interpolation by positive definite functions on locally compact groups with application to \(\text{SO} (3)\)
• Efficient reconstruction of functions on the sphere from scattered data
• FFTs on the rotation group
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
• Marcinkiewicz–Zygmund Inequalities and Polynomial Approximation from Scattered Data onSO(3)
• Approximation by Positive Definite Functions on Compact Groups
• Polynomial approximation on the sphere using scattered data

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