Theory of Probability and Its Applications · 1965 · 31 citations · 7 references
Natural SciencesMathematicsPhysicsProbability TheoryQuantum MechanicsStochastic ProcessesFunctional AnalysisMeasure-theoretic ProbabilityFinite Difference SchemesSpace-time Statistics
Previous article Next article Generalized Measures in Function SpacesYu. L. Daletskii and S. V. FominYu. L. Daletskii and S. V. Fominhttps://doi.org/10.1137/1110035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. Kac, On distributions of certain Wiener functionals, Trans. Amer. Math. Soc., 65 (1949), 1–13 MR0027960 0032.03501 CrossrefGoogle Scholar[2] E. V. Mai˘kov and , S. V. Fomin, Measures in a function space and difference schemes, Dokl. Akad. Nauk SSSR, 149 (1963), 525–528, (In Russian.) MR0146974 0201.17903 Google Scholar[3] R. Feynman, Space-time approach to nonrelativistic quantum mechanics, Reviews of Modern Physics, 20 (), 267– Google Scholar[4] A. N. Kolmogorov, Foundations of the theory of probability, Chelsea Publishing Co., New York, 1956viii+84 MR0079843 0074.12202 Google Scholar[5] Yu. L. Daletskii, Functional integrals connected with operator evolution equations, Uspekhi Mat. 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Belopol'skaya6 May 2021 | Theory of Probability & Its Applications, Vol. 66, No. 1AbstractPDF (559 KB)Системы нелинейных обратных и прямых уравнений Колмогорова, обобщенные решения22 January 2021 | Теория вероятностей и ее применения, Vol. 66, No. 1 Cross Ref Random flights connecting porous medium and Euler–Poisson–Darboux equationsJournal of Mathematical Physics, Vol. 61, No. 4 Cross Ref Probabilistic representation formula for the solution of fractional high-order heat-type equations2 February 2019 | Journal of Evolution Equations, Vol. 19, No. 2 Cross Ref Pseudoprocesses on a circle and related Poisson kernels18 February 2015 | Stochastics, Vol. 87, No. 4 Cross Ref Exact dynamics of stochastic linear delayed systems: Application to spatiotemporal coordination of comoving agents22 October 2014 | Physical Review E, Vol. 90, No. 4 Cross Ref Pseudoprocesses Related to Space-Fractional Higher-Order Heat-Type Equations16 June 2014 | Stochastic Analysis and Applications, Vol. 32, No. 4 Cross Ref First exit time from a bounded interval for pseudo-processes driven by the equation ∂/∂t=(−1)N−1∂2N/∂x2NStochastic Processes and their Applications, Vol. 124, No. 2 Cross Ref Pseudo-Processes Governed by Higher-Order Fractional Differential EquationsElectronic Journal of Probability, Vol. 13, No. none Cross Ref The distribution of the local time for “pseudoprocesses” and its connection with fractional diffusion equationsStochastic Processes and their Applications, Vol. 115, No. 6 Cross Ref Joint distributions of the maximum and the process for higher-order diffusionsStochastic Processes and their Applications, Vol. 94, No. 1 Cross Ref Conditional maximal distributions of processes related to higher-order heat-type equationsStochastic Processes and their Applications, Vol. 85, No. 2 Cross Ref Propagation of a Dirac particle. A path integral approachJournal of Mathematical Physics, Vol. 25, No. 6 Cross Ref Path integral for a hyperbolic system of the first orderDuke Mathematical Journal, Vol. 51, No. 1 Cross Ref Path integral for the Dirac equation in two space-time dimensionsProceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 58, No. 7 Cross Ref Equivalence and Radon-Nikodym derivatives of Gaussian measuresJournal of Mathematical Analysis and Applications, Vol. 37, No. 1 Cross Ref Monte Carlo evaluation of Feynman Path Integrals in imaginary time and spherical polar coordinatesJournal of Computational Physics, Vol. 4, No. 4 Cross Ref Volume 10, Issue 2| 1965Theory of Probability & Its Applications History Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1110035Article page range:pp. 304-316ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics
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