Lp intersection bodies

2008

157 citations recorded by the source corpus.

Subfields: Applied Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/1cbbba95ff567792527235bfc2b5273188725d1b

Citations in the corpus

• The even Orlicz-Minkowski problem (2010, unknown): “[1–5, 7–10, 12, 13, 15–22, 25–39, 41–44, 47, 49, 50, 52–55, 58, 60–63, 65–68]).”
• Minkowski Areas and Valuations (2010, unknown): “In recent years, such affine functions on convex bodies have attracted increased interest (see, for example, [10, 14, 18, 21, 25, 26, 41, 42, 43, 45, 46, 56, 57]).”
• Harmonic Analysis of Translation Invariant Valuations (2010, unknown): “For a systematic study of Minkowski valuations, we refer to [ H1 ,2], [K], [L1-4], [S2] and the references therein.”
• Valuations and Busemann{Petty Type Problems (2008, unknown): “Here, the Lp extensions of the projection, intersection and centroid body operators were studied, see [20,22,54,66].”
• General $L_p$ affine isoperimetric inequalities (2008, unknown): “The numbers ak[C + p ] have been calculated in [39], see also [15]: If p is not an integer, then (26) ak[C + p ] 6= 0, and if p ∈ N, then (27) ak[C + p ] = 0 if and only if k = 2 + p, 4 + p, 6 + p, .”
• The dual Orlicz–Brunn–Minkowski theory ☆ (2014, unknown): “By analogy with the Lp-intersection body of a star body (see [20]), when φ ∈ Φ1, we define IφK to be the star body with radial function”
• Orlicz projection bodies (2010, unknown): “[2–8,14–19,22–28,30–43,49,51, 52,54,55].”
• Interpolating Thin-Shell and Sharp Large-Deviation Estimates for Lsotropic Log-Concave Measures (2010, unknown): “Haberl in [20].”
• Dual Orlicz-Brunn-Minkowski theory (2014, unknown): “In [20], Haberl also showed that: if p ↑ 1, then the p-intersection body IpK → IK.”
• Star body valued valuations (2009, unknown): “The operators Γ p are closely related to the generalized MinkowskiFunk transform [40] and are the asymmetric Lp analogs of the intersection body operator for negative p; see [12], [13].”