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New Structures on Valuations and Applications

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Publication:5254907
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DOI10.1007/978-3-0348-0874-3_1zbMath1322.52012arXiv1008.0287OpenAlexW1864813859MaRDI QIDQ5254907

Semyon Alesker

Publication date: 10 June 2015

Published in: Advanced Courses in Mathematics - CRM Barcelona (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0287


zbMATH Keywords

convex setsvaluationconstructible functionsinvariant valuationsvaluations on manifoldsRadon transformations


Mathematics Subject Classification ID

Integral geometry (53C65) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)


Related Items (7)

Valuations and Curvature Measures on Complex Spaces ⋮ Valuation theory of indefinite orthogonal groups ⋮ The Weyl principle on the Finsler frontier ⋮ Spin-invariant valuations on the octonionic plane ⋮ Kinematic formulas for tensor valuations ⋮ \(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations ⋮ Continuity and representation of valuations on star bodies




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