Complex \(L_p\)-intersection bodies
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Publication:6076337
DOI10.1016/j.aim.2023.109247arXiv2304.00794OpenAlexW4385886815MaRDI QIDQ6076337
Simon Ellmeyer, Georg C. Hofstätter
Publication date: 21 September 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.00794
Inequalities and extremum problems involving convexity in convex geometry (52A40) Geometric constructions in real or complex geometry (51M15) Dissections and valuations (Hilbert's third problem, etc.) (52B45)
Cites Work
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- Projection bodies in complex vector spaces
- Difference bodies in complex vector spaces
- Centroid surfaces
- Convexity of \(L_p\)-intersection bodies
- Generalized intersection bodies
- Function theory in the unit ball of \({\mathbb{C}}^ n\)
- Intersection bodies and dual mixed volumes
- Second derivative test for intersection bodies
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- A generalization of the Busemann-Petty problem on sections of convex bodies
- Blaschke-Santaló inequalities
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- A positive answer to the Busemann-Petty problem in three dimensions
- Generalizations of the Busemann-Petty problem for sections of convex bodies
- Complex \(L_p\) affine isoperimetric inequalities
- Complex affine isoperimetric inequalities
- The complex Busemann-Petty problem on sections of convex bodies
- Volume in terms of concurrent cross-sections
- Complex intersection bodies
- Intersection bodies and valuations
- A characterization of Lp intersection bodies
- Convolutions, Transforms, and Convex Bodies
- Composition Series and Intertwining Operators for the Spherical Principal Series. I
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- p-Cross-section bodies
- Centered Bodies and Dual Mixed Volumes
- Intersection bodies and the Busemann-Petty problem
- Intersection bodies and ellipsoids
- Sections of Convex Bodies
- How do difference bodies in complex vector spaces look like? A geometrical approach
- Convex Bodies The Brunn-MinkowskiTheory
- Centroid bodies and comparison of volumes
- A Theorem on Convex Bodies of the Brunn-Minkowski Type
- A functional analytic approach to intersection bodies
- \(L_p\) intersection bodies
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