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On the K-dimensional radon-transform of rapidly decreasing functions

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Differential Geometry Peñíscola 1985

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1209))

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References

  1. Gel'fand, Graev, Shapiro: Integral geometry on k-dimensional planes (Russian), Funkcion, analiz i ego prilož. 1–1, 1967, p. 1–31.

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  2. Gel'fand, Gindikin, Graev: Integral geometry in affine and projective spaces (Russian), Itogi nauki, Series: Sovrem. probl. mat. vol. 16, 1980.

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  3. Gonzales F.B.: Radon transforms on Grassmann manifolds, Ph.D. Thesis, M.I.T., Cambridge, Mass., 1984.

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  4. Grinberg E.L.: Euclidean Radon transforms: Ranges and Restrictions, Preprint, presented at the AMS summer meeting on Integral Geometry, 1984

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  5. Helgason S.: "The Radon Transform", Progres in Math., vol. 5, Birkhäuser, Boston 1980

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  6. Helgason S.: The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds, Acta Math. 113, 1965, p. 153–180.

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  7. Schwartz L.: "Théorie des Distributions", Hermann, Paris, 1966

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Author information

Authors and Affiliations

  1. Sektion Mathematik, Humboldt-Universität Berlin, Germany

    F. Richter

Authors
  1. F. Richter
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Antonio M. Naveira Angel Ferrández Francisca Mascaró

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© 1986 Springer-Verlag

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Richter, F. (1986). On the K-dimensional radon-transform of rapidly decreasing functions. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076636

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  • DOI: https://doi.org/10.1007/BFb0076636

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16801-0

  • Online ISBN: 978-3-540-44844-0

  • eBook Packages: Springer Book Archive

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