Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds

DOI10.1007/s12220-012-9294-4zbMath1277.44001arXiv1009.2184OpenAlexW2962707335MaRDI QIDQ363222

Boris Rubin

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2184

zbMATH Keywords

Radon transformFourier analysismeromorphic continuationcosine transformGrassmann manifoldsRiesz potentialFunk transformCayley-Laplace operatorsine transformStiefel manifolds

Mathematics Subject Classification ID

Radon transform (44A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Integration on manifolds; measures on manifolds (58C35)

Related Items

A Hadwiger-Type Theorem for General Tensor Valuations, On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality, Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds, The λ-cosine transforms with odd kernel and the hemispherical transform, Fractional integrals associated with Radon transforms, On Radon transforms between lines and hyperplanes, Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians, New inversion formulas for Radon transforms on affine Grassmannians, The Berezin form on symmetric $R$-spaces and reflection positivity, The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds, Reconstruction of functions on the sphere from their integrals over hyperplane sections, Central limit theorem for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields, The Fourier transform approach to inversion of 𝜆-cosine and funk transforms on the unit sphere

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