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Some remarks on various definitions of feynman integral

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Probability in Banach Spaces IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 990))

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References

  1. Albeverio, S.A. and Høegh-Krohn, R.J. Mathematical Theory of Feynman Path Integrals, Lecture Notes in Mathematics No. 523, Springer-Verlag, New York, 1976.

    MATH  Google Scholar 

  2. Cameron, R.H. A family of integrals serving to connect the Wiener and Feynman integrals, J.Math. and Physics 39 (1960) 126–141.

    Article  MathSciNet  MATH  Google Scholar 

  3. Feynman, R.P. Space time approach to non relativistic quantum mechanics, Rev.Mod.Phys. 20 (1948) 367–387.

    Article  MathSciNet  Google Scholar 

  4. _____, Statistical Mechanics: A set of lectures, Benjamin/Cummings Publ. Reading Mass. 1972.

    MATH  Google Scholar 

  5. Gelfand, I.M. and Yaglom, A.M. Integration in functional spaces, J. Math. Physics 1 (1960) 3–18.

    Google Scholar 

  6. Gross, L. Measurable functions on Hilbert space, Trans.Amer.Math.Soc. 105 (1962) 372–390.

    Article  MathSciNet  MATH  Google Scholar 

  7. Ito, K. Generalized uniform complex measures in the Hilbertian metric space with their applications to Feynman path integral, Proc.Fifth Berkeley Symposium on Math.Stat.and Prob. (1967) II, part 1 145–161.

    Google Scholar 

  8. Johnson, W. The equivalence of two approaches to the Feynman Integral, Preprint 1981.

    Google Scholar 

  9. Kac, M. On distributions of certain Wiener functionals, Trans.Amer.Math.Soc. 65 (1949) 1–13.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, Probability and related topics in physical sciences, Interscience Publ., New York 1959.

    MATH  Google Scholar 

  11. Kallianpur, G. A generalized Cameron-Feynman integral Essays in Honor of C.R. Rao. Ed.G.Kallianpur (et.at.) North Holland, 1981.

    Google Scholar 

  12. Kallianpur, G. and Bromley, C. Generalized Feynman integrals using analytic continuation in several complex variables. Tech. Report 1, Center for Stochastic Processes, Univ. of N.C., 1981.

    Google Scholar 

  13. Kuelbs, J. and Mandrekar, V. The Wiener closure theorem for abstract Wiener spaces. Proc.Amer.Math.Soc. 32 (1972) 169–178.

    Article  MathSciNet  MATH  Google Scholar 

  14. Nelson, E. Derivation of Schrodinger equation from Newtonian Mechanics, Phys.Rev. 150 (1966) 1079–1085.

    Article  Google Scholar 

  15. Truman, A. The polygonal path formulation of Feynman path integral, Springer-Verlag Lecture notes in Physics, 106 (1978) 73–102.

    Article  MathSciNet  Google Scholar 

  16. Widder, D.V. The Laplace Transform Princeton Univ.Press, Princeton, N.J. 1941.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics and Probability, Michigan State University, 48824, East Lansing, Michigan, USA

    V. Mandrekar

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  1. V. Mandrekar
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Anatole Beck Konrad Jacobs

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© 1983 Springer-Verlag

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Mandrekar, V. (1983). Some remarks on various definitions of feynman integral. In: Beck, A., Jacobs, K. (eds) Probability in Banach Spaces IV. Lecture Notes in Mathematics, vol 990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064270

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  • DOI: https://doi.org/10.1007/BFb0064270

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12295-1

  • Online ISBN: 978-3-540-39870-7

  • eBook Packages: Springer Book Archive

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