Average number of roots of systems of equations

DOI10.1134/S0016266320020033zbMath1450.52005OpenAlexW3085729424MaRDI QIDQ2206352

B. Ya. Kazarnovskii

Publication date: 22 October 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266320020033

zbMATH Keywords

Banach spacenormal densityCrofton formulaaverage number of zerosmixed symplectic volume

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Mixed volumes and related topics in convex geometry (52A39) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (2)

How many roots of a system of random Laurent polynomials are real? ⋮ Crofton formulae for products

Cites Work

• On common zeros of eigenfunctions of the Laplace operator
• The imbedding problem for Riemannian manifolds
• Average number of zeros and mixed symplectic volume of Finsler sets
• Range characterization of the cosine transform on higher Grassmannians
• Theory of valuations on manifolds: A survey
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