Local and equatorial characterization of unit balls of subspaces of \(L_{p}\), \(p>0\) and properties of the generalized cosine transform

DOI10.1016/j.jmaa.2010.09.005zbMath1223.52003OpenAlexW2090691543MaRDI QIDQ549788

Jeffrey Schlaerth

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.005

zbMATH Keywords

Fourier transformconvex body\(p\)-cosine transformembedding in \(L_p\)local equatorial characterization

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Local properties of intertwining operators on the sphere

Cites Work

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• Blaschkes Problem der lokalen Charakterisierung von Zonoiden
• An analytic solution to the Busemann-Petty problem on sections of convex bodies
• \(L_ p\) affine isoperimetric inequalities.
• Projections of convex bodies and the Fourier transform
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• On the local equatorial characterization of zonoids and intersection bodies
• Fourier transform and Firey projections of convex bodies

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