Analogs of the Lebesgue measure in spaces of sequences and classes of functions integrable with respect to these measures

DOI10.1007/s10958-020-05139-8zbMath1460.28011OpenAlexW3105403564MaRDI QIDQ2214364

D. V. Zavadsky

Publication date: 8 December 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05139-8

zbMATH Keywords

topology of pointwise convergenceBorel \(\sigma\)-algebratranslation-invariant measurespace of integrable functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Schrödinger and Feynman-Kac semigroups (47D08)

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Cites Work

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• Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures
• Averaging of random walks and shift-invariant measures on a Hilbert space
• Does there exist a Lebesgue measure in the infinite-dimensional space?
• Unbounded random operators and Feynman formulae
• "Lebesgue Measure" on R ∞

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