Multihedgehogs and the Sturm-Hurwitz theorem

DOI10.1007/s000130300008zbMath1025.52010OpenAlexW2067475286MaRDI QIDQ1396714

Yves Martinez-Maure

Publication date: 8 July 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130300008

zbMATH Keywords

hedgehogFourier analysisenvelopesupport functiongeometric inequalitiesdifference bodyconvex curvesmultihedgehog

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Trigonometric polynomials, inequalities, extremal problems (42A05) Harmonic analysis in one variable (42A99)

Related Items (6)

On inverse construction of isoptics and isochordal-viewed curves ⋮ Closed cycloids in a normed plane ⋮ Proofs (not) from The Book ⋮ New notion of index for hedgehogs of \(\mathbb R^3\) and applications ⋮ A Sturm-type comparison theorem by a geometric study of plane multihedgehogs ⋮ Hedgehog theory via Euler calculus

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