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Algebraic models for Gaussian measures on Banach spaces

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Probability in Banach Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 526))

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References

  1. Bharucha-Reid, A.T., Random Integral Equations, Academic Press, New York, 1972.

    MATH  Google Scholar 

  2. Billingsley, P., Convergence of Probability Measures, Wiley, New York, 1968.

    MATH  Google Scholar 

  3. Christensen, M.J. and Bharucha-Reid, A. T., Algebraic models for probability measures associated with solutions of random equations. I, to appear.

    Google Scholar 

  4. de Acosta, A.D., Existence and convergence of probability measures in Banach spaces, Trans. Amer. Math. Soc. 152 (1970), 273–298.

    MathSciNet  MATH  Google Scholar 

  5. Dinculeanu, N. and Foiaş, C., Algebraic models for measures, Illinois Math. J. 12 (1968), 340–351.

    MathSciNet  MATH  Google Scholar 

  6. Grenander, U. Probabilities on Algebraic Structures, Wiley, New York 1963.

    MATH  Google Scholar 

  7. Kuelbs, J., Gaussian measures on a Banach space, J. Functional Anal. 5 (1970), 354–367.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kuelbs, J. and Mandrekar, V., Harmonic analysis on certain vector spaces, Trans. Amer. Math. Soc. 149 (1970), 213–231.

    Article  MathSciNet  MATH  Google Scholar 

  9. Parthasarathy, K.R., Probability Measures on Metric Spaces, Academic Press, New York, 1967.

    Book  MATH  Google Scholar 

  10. Rudin, W., Fourier Analysis on Groups, Wiley (Interscience), New York, 1962.

    MATH  Google Scholar 

  11. Schreiber, B. M., Sun, T.-C. and Bharucha-Reid, A. T., Algebraic models for probability measures associated with stochastic processes, Trans. Amer. Math. Soc. 158 (1971), 93–105.

    Article  MathSciNet  MATH  Google Scholar 

  12. Schwartz, L., Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures, Oxford University Press, London, 1973.

    MATH  Google Scholar 

  13. Vahanija, N.N., Probability distributions in linear spaces (Russian). Sakharth. SSR Mecn. Akad. Gamothvl. Centr. Srom. 10, No. 3, 1971.

    Google Scholar 

  14. Yeh, J., Stochastic Processes and the Wiener Integral, Dekker, New York, 1973.

    MATH  Google Scholar 

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Author information

Author notes

  1. Mark J. Christensen

    Present address: School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, Georgia

Authors and Affiliations

  1. Department of Mathematics, Wayne State University, 48202, Detroit, Michigan

    Mark J. Christensen & A. T. Bharucha-Reid

Authors
  1. Mark J. Christensen
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  2. A. T. Bharucha-Reid
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Editor information

Anatole Beck

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© 1976 Springer-Verlag

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Christensen, M.J., Bharucha-Reid, A.T. (1976). Algebraic models for Gaussian measures on Banach spaces. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082341

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  • DOI: https://doi.org/10.1007/BFb0082341

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07793-0

  • Online ISBN: 978-3-540-38256-0

  • eBook Packages: Springer Book Archive

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