Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
scientific article; zbMATH DE number 2177236 - MaRDI portal

scientific article; zbMATH DE number 2177236

From MaRDI portal
Publication:4679602

zbMath1082.52002MaRDI QIDQ4679602

Alexander L. Koldobsky

Publication date: 20 June 2005


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls, Projection functions, area measures and the Alesker-Fourier transform, The Slicing Problem by Bourgain, Convex bodies and norms associated to convex measures, Comparison of volumes of convex bodies in real, complex, and quaternionic spaces, On the Comparison of Measures of Convex Bodies via Projections and Sections, Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms, The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry, Counterexamples to convexity of $k$-intersection bodies, The dual difference Aleksandrov-Fenchel inequality, Non-central sections of convex bodies, The λ-cosine transforms with odd kernel and the hemispherical transform, On polynomially integrable convex bodies, On a version of the slicing problem for the surface area of convex bodies, Magnitude and Holmes–Thompson intrinsic volumes of convex bodies, Weighted Minkowski’s existence theorem and projection bodies, Comparison problems for Radon transforms, Long lines in subsets of large measure in high dimension, General measure extensions of projection bodies, Complex \(L_p\)-intersection bodies, Stability of polydisc slicing, An analogue of polynomially integrable bodies in even-dimensional spaces, Clusters in Markov chains via singular vectors of Laplacian matrices, On \(p\)-Brunn-Minkowski inequalities for intrinsic volumes, with \(0\le p<1\), The \(L_p\) chord Minkowski problem, Intersection bodies and generalized cosine transforms, Entropies of sums of independent gamma random variables, Shallow sections of the hypercube, Stability related to the Lp$L_p$ Busemann–Petty problem, The multiple radial Blaschke-Minkowski homomorphisms, Non-diagonal critical central sections of the cube, On separably integrable symmetric convex bodies, Iterations of Minkowski valuations, Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting), Volume difference inequalities, On strict inclusions in hierarchies of convex bodies, Dual Orlicz Mixed Quermassintegral, The isoperimetrix in the dual Brunn-Minkowski theory, A \(\sqrt{n}\) estimate for measures of hyperplane sections of convex bodies, Stability in the \(L_p\) Shephard problem, The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities, The normalized L_p intersection bodies, On the generalized Busemann-Petty problem, A generalized funk’s section theorem for measures, On Complex L_p affine isoperimetric inequalities, On the local equatorial characterization of zonoids and intersection bodies, Modified Busemann-Petty problem on sections of convex bodies, On mixed complex intersection bodies, Spectral properties of the Dirichlet operator $\sum _{i=1}^{d}(-\partial _i^2)^{s}$∑i=1d(−∂i2)s on domains in d-dimensional Euclidean space, Generalized intersection bodies are not equivalent, On an analytic generalization of the Busemann-Petty problem, The complex Busemann-Petty problem on sections of convex bodies, A Remark on the Extremal Non-Central Sections of the Unit Cube, The Busemann--Petty problem in hyperbolic and spherical spaces, Estimates for moments of general measures on convex bodies, Slicing inequalities for subspaces of $L_p$, On the volume of non-central sections of a cube, A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space, The isomorphic Busemann-Petty problem for \(s\)-concave measures, Volume inequalities for complex isotropic measures, Slicing inequalities for measures of convex bodies, The relative 𝑝-affine capacity, Busemann-Petty problems for L_p mixed intersection bodies, The logarithmic intersection body, Coulomb Gases Under Constraint: Some Theoretical and Numerical Results, \(L_p\) intersection bodies, The covariogram and Fourier–Laplace transform in ℂn, Nonexistence of fractional Brownian fields indexed by cylinders, A flag representation for a \(n\)-dimensional convex body, A Fourier transform approach to Christoffel’s problem, Scatter halfspace depth for \(K\)-symmetric distributions, On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures, A classification of some unit Lorentz balls as non-intersection bodies, An extension of Minkowski's theorem and its applications to questions about projections for measures, The dual Minkowski problem for symmetric convex bodies, Stability in the shephard problem for L p -projection of convex bodies, Non-intersection bodies, all of whose central sections are intersection bodies, Some remarks about the maximal perimeter of convex sets with respect to probability measures, Lower and upper bounds for the waists of different spaces, A note on 𝑘-intersection bodies, The Fourier transform approach to inversion of 𝜆-cosine and funk transforms on the unit sphere, On the shape of a convex body with respect to its second projection body, A generalisation of the fractional Brownian field based on non-Euclidean norms, Critical central sections of the cube, Stability results for sections of convex bodies, \(L_p\) intersection bodies, On the stability of Brunn-Minkowski type inequalities, The measure-comparison problem for polar \((p, \mu)\)-centroid bodies, On the volume of hyperplane sections of a \(d\)-cube, A solution to the fifth and the eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball, On a question of Pietsch, Inequalities for the derivatives of the Radon transform on convex bodies, Orlicz mixed chord-integrals, On intersection and mixed intersection bodies, Fourier transform and valuations, On convex intersection bodies and unique determination problems for convex bodies, Square-like functions generated by the Laplace-Bessel differential operator, Convexity of \(L_p\)-intersection bodies, On sections of convex bodies in hyperbolic space, On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality, Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds, Lattice points in stretched model domains of finite type in \(\mathbb{R}^d\), Optimal measures for \(p\)-frame energies on spheres, Iterations of the projection body operator and a remark on Petty's conjectured projection inequality, Generalized intersection bodies, Maximal perimeters of polytope sections and origin-symmetry, Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds, Solution of the propeller conjecture in \(\mathbb R^3\), Positive definite metric spaces, Orlicz mixed radial Blaschke-Minkowski homomorphisms, Firey-Shephard problems for homogeneous measures, A multivariate Gnedenko law of large numbers, Extremum problems for the cone volume functional of convex polytopes, Separation inequalities for \(L_p\)-centroid bodies, Sampling by intersections with random geodesics, Operations between sets in geometry, A note on the extremal non-central sections of the cross-polytope, Busemann-Petty problems for quasi \(L_p\) intersection bodies, The lower dimensional Busemann-Petty problem in the complex hyperbolic space, A discrete version of Koldobsky's slicing inequality, On the average volume of sections of convex bodies, The dual Blaschke addition, Stability and slicing inequalities for intersection bodies, Unique determination of convex polytopes by non-central sections, A hyperplane inequality for measures of convex bodies in \(\mathbb R^{n }, \; n\leq 4\), The unit ball is an attractor of the intersection body operator, Estimates for the extremal sections of \(\ell ^n_p\)-balls, Busemann's intersection inequality in hyperbolic and spherical spaces, Central sections of a convex body with ellipsoid of maximal volume \(B_2^n\), Adams inequalities on measure spaces, The geometry of \(p\)-convex intersection bodies, Stability of volume comparison for complex convex bodies, Deconvolution for the Wasserstein metric and geometric inference, Stability in the Busemann-Petty and Shephard problems, Detecting symmetry in star bodies, Non-central sections of the simplex, the cross-polytope and the cube, Isomorphic properties of intersection bodies, Explicit Euclidean embeddings in permutation invariant normed spaces, Starshaped sets, Geometry and volume product of finite dimensional Lipschitz-free spaces, The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\), Complex \(L_p\) affine isoperimetric inequalities, Tractability results for weighted Banach spaces of smooth functions, First-order global asymptotics for confined particles with singular pair repulsion, Gaussian measure of sections of dilates and translations of convex bodies, On extremal sections of subspaces of \(L_p\), On the heat content for the Poisson heat kernel over convex bodies, On the maximal perimeter of sections of the cube, Square-like functions generated by a composite wavelet transform, Sections of convex bodies with symmetries, Valuations and Busemann-Petty type problems, Intersection bodies that are not polar zonoids: a flat top condition in dimensions four and six, Fixed points of Minkowski valuations, Boundary behavior of nonlocal minimal surfaces, \(L_{p}\) dual curvature measures, On the positive definiteness of some functions related to the Schoenberg problem, Stability inequalities for projections of convex bodies, An example related to the slicing inequality for general measures, The Wiener algebra of absolutely convergent Fourier integrals: an overview, On isoperimetric inequalities in Minkowski spaces, Positive definite functions and stable random vectors, The Busemann theorem for complex \(p\)-convex bodies, Projection bodies in complex vector spaces, Positive definite distributions and normed spaces, Halfspace depth and floating body, Difference bodies in complex vector spaces, An isomorphic version of the Busemann-Petty problem for arbitrary measures, Local properties of intertwining operators on the sphere, Local and equatorial characterization of unit balls of subspaces of \(L_{p}\), \(p>0\) and properties of the generalized cosine transform, On nearly radial marginals of high-dimensional probability measures, The Busemann-Petty problem for arbitrary measures, Complex affine isoperimetric inequalities, An extension of a result by Lonke to intersection bodies, A new characterization of the Riesz potential spaces with the aid of a composite wavelet transform, On the volume of sections of the cube, Estimates for measures of lower dimensional sections of convex bodies, Inversion of the attenuated X-ray transforms -- method of convolution-backprojection, Sharp inequalities for the mean distance of random points in convex bodies, Gaussian mixtures: entropy and geometric inequalities, Schoenberg matrices of radial positive definite functions and Riesz sequences of translates in \(L^2(\mathbb R^n)\), Isomorphic Busemann-Petty problem for sections of proportional dimensions, A variant of the \(L_p\)-Shephard problem via \((p,q)\)-projection bodies, A general slicing inequality for measures of convex bodies, Convex and star-shaped sets associated with multivariate stable distributions. I: Moments and densities, On the extremal rays of the cone of positive, positive definite functions, The modified complex Busemann-Petty problem on sections of convex bodies, On the asymptotic expansion of the heat content for isotropic \(\alpha \)-stable processes over convex bodies, \(0<\alpha <2\)