Inequalities for convex bodies and polar reciprocal lattices in \(\mathbb{R}^ n\)
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Publication:1346139
DOI10.1007/BF02574039zbMath0824.52011MaRDI QIDQ1346139
Publication date: 12 November 1995
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131357
Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies (number-theoretic aspects) (11H06) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)
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Cites Work
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- Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
- Pontryagin duality for subgroups and quotients of nuclear spaces
- Dual vectors and lower bounds for the nearest lattice point problem
- Covering minima and lattice-point-free convex bodies
- Additive subgroups of topological vector spaces
- New bounds in some transference theorems in the geometry of numbers
- An Introduction to the Geometry of Numbers
- Summable families in nuclear groups
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