Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators

DOI10.1090/spmj/1394zbMath1345.28001OpenAlexW2315916587MaRDI QIDQ2797728

Fedor Petrov, Pavel B. Zatitskiy, Anatoly M. Vershik

Publication date: 6 April 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7925ac0f6bbc713e131a01d7d5089943a6da8db1

zbMATH Keywords

quasibistochastic measuresvirtually continuous function

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25)

Related Items (1)

Positive Semi-definite Embedding for Dimensionality Reduction and Out-of-Sample Extensions

Cites Work

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• Virtual continuity of measurable functions of several variables and embedding theorems
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
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• A simple embedding theorem for kernels of trace class integral operators in $L^2(\mathbb {R}^m)$. Application to the Fredholm trace formula
• Duality theorems for marginal problems
• Virtual continuity of measurable functions and its applications
• What does a generic Markov operator look like?

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