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Crofton's function and inversion formulas in real integral geometry

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. I. M. Gel'fand, M. I. Graev, and N. Ya. Vilenkin, Integral Geometry and Questions of Representation Theory Related to It [in Russian], Fizmatgiz, Moscow (1962).

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  2. S. Helgason, The Radon Transform [Russian translation], Mir, Moscow (1983).

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  3. I. M. Gel'fand, M. I. Graev, and Z. Ya. Shapiro, "Integral geometry on k-dimensional planes," Funkts. Anal. Prilozhen.,1, No. 1, 15–31 (1967).

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  4. I. M. Gel'fand and S. G. Gindikin, "Nonlocal inversion formulas in real integral geometry," Funkts. Anal. Prilozhen.,11, No. 3, 12–19 (1977).

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Authors
  1. I. M. Gel'fand
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  2. M. I. Graev
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Additional information

Institute of Applied Mathematics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 25, No. 1, pp. 1–6, January–March, 1991.

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Gel'fand, I.M., Graev, M.I. Crofton's function and inversion formulas in real integral geometry. Funct Anal Its Appl 25, 1–5 (1991). https://doi.org/10.1007/BF01090671

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  • DOI: https://doi.org/10.1007/BF01090671

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