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The radon transform in infinite-dimensional spaces

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References

  1. S. Helgason, The Radon Transform (Birkhäuser, Boston, 1980; Mir, Moscow, 1983).

    MATH  Google Scholar 

  2. S. Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions (Academic, Orlando, 1984; Mir, Moscow, 1987).

    MATH  Google Scholar 

  3. A. Hertle, Lect. Notes Math. 794, 513–531 (1980).

    Article  MathSciNet  Google Scholar 

  4. A. Hertle, Lect. Notes Math. 945, 314–335 (1982).

    Article  MathSciNet  Google Scholar 

  5. J. J. Becnel and A. N. Sengupta, Trans. Am. Math. Soc. 364, 1281–1291 (2012).

    Article  MATH  Google Scholar 

  6. V. Mihai and A. N. Sengupta, Soochow J. Math. 33, 415–434 (2007).

    MathSciNet  MATH  Google Scholar 

  7. V. I. Bogachev, Measure Theory (Springer-Verlag, New York, 2007).

    Book  MATH  Google Scholar 

  8. V. I. Bogachev, Differentiable Measures and the Malliavin Calculus (Am. Math. Soc., Providence, R.I., 2010).

    MATH  Google Scholar 

  9. V. I. Bogachev, Gaussian Measures (Am. Math. Soc., Providence, R.I., 1998).

    MATH  Google Scholar 

  10. V. I. Bogachev, J. Math. Sci. 87, 3577–3731 (1997).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Departments of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    V. I. Bogachev & M. N. Lukintsova

Authors
  1. V. I. Bogachev
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  2. M. N. Lukintsova
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Additional information

Published in Russian in Doklady Akademii Nauk, 2012, Vol. 443, No. 3, pp. 279–282.

The article was translated by the authors.

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Bogachev, V.I., Lukintsova, M.N. The radon transform in infinite-dimensional spaces. Dokl. Math. 85, 208–211 (2012). https://doi.org/10.1134/S1064562412020159

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