Comparison problems for Radon transforms (Q6065311)

scientific article; zbMATH DE number 7765304

Language	Label	Description	Also known as
English	Comparison problems for Radon transforms	scientific article; zbMATH DE number 7765304

Statements

instance of

scholarly article

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title

Comparison problems for Radon transforms (English)

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author

Alexander L. Koldobsky

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Michael Roysdon

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Artem Zvavitch

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published in

Advances in Mathematics

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publication date

14 November 2023

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full work available at URL

https://arxiv.org/abs/2305.17796

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zbMATH Keywords

Radon transform

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spherical Radon transform

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star bodies

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intersection bodies

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slicing inequalities

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Busemann-Petty problem

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MaRDI profile type

MaRDI publication profile

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cites work

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Extremizers of a Radon transform inequality

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An analytic solution to the Busemann-Petty problem on sections of convex bodies

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Variants of the Busemann–Petty Problem and of the Shephard Problem

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Functional analytic characterizations of classes of convex bodies

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The Radon transform.

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The Lower Bound for Koldobsky’s Slicing Inequality via Random Rounding

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Q4679602

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A hyperplane inequality for measures of convex bodies in $\mathbb R^{n }, \; n\leq 4$

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A $\sqrt{n}$ estimate for measures of hyperplane sections of convex bodies

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Slicing inequalities for measures of convex bodies

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Intersection bodies, positive definite distributions, and the Busemann-Petty problem

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Isomorphic Busemann-Petty problem for sections of proportional dimensions

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A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls

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Measure comparison and distance inequalities for convex bodies

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An isomorphic version of the Busemann-Petty problem for arbitrary measures

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Intersection bodies and dual mixed volumes

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Q3452871

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Convex Bodies The Brunn-MinkowskiTheory

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2023.109336

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6065311