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Harmonic analysis in the non-Euclidean disk

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Conference on Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 266))

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References

  1. H. Furstenberg, Translation-invariant cones of functions on semisimple Lie groups, Bull. Amer. Math. Soc. 71 (1965), 271–326.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Godement, Séminaire Bourbaki, 1957.

    Google Scholar 

  3. S. Helgason, The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassman manifolds, Acta Math. 113 (1965), 153–180.

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Helgason, Radon-Fourier transforms on symmetric spaces and related group representations, Bull. Amer. Math. Soc. 71 (1965), 757–763.

    Article  MathSciNet  MATH  Google Scholar 

  5. S. Helgason, Lie groups and symmetric spaces, Battelle Rencontres 1967, 1–71, W. A. Benjamin, Inc. N.Y. 1968.

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  6. S. Helgason, A duality for symmetric spaces with applications to group representations, Advances in Mathematics, 5 (1970), 1–154.

    Article  MathSciNet  MATH  Google Scholar 

  7. F. I. Karpelevič, Non-negative eigenfunctions of the Beltrami-Laplace operator on symmetric spaces of non-positive curvature, Soviet Math. 4 (1963), 1180–1182.

    Google Scholar 

  8. G. Köthe, Die Randverteilungen analytischer Funktionen, Math. Z. 57 (1952), 13–33.

    Article  MathSciNet  MATH  Google Scholar 

  9. B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier Grenoble, 6 (1955–56), 271–355.

    Article  MathSciNet  MATH  Google Scholar 

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Denny Gulick Ronald L. Lipsman

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© 1972 Springer-Verlag

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Helgason, S. (1972). Harmonic analysis in the non-Euclidean disk. In: Gulick, D., Lipsman, R.L. (eds) Conference on Harmonic Analysis. Lecture Notes in Mathematics, vol 266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059641

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  • DOI: https://doi.org/10.1007/BFb0059641

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05856-4

  • Online ISBN: 978-3-540-37479-4

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