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Pompeiu’s problem on spaces of constant curvature

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References

  1. R. Courant and D. Hilbert,Methods of Mathematical Physics, Vol.2, Interscience, 1962.

  2. J. Delsarte,Note sur une propriété nouvelle des fonctions harmoniques, C. R. Acad. Sci. Paris246 (1958), 1358–1360.

    MATH  MathSciNet  Google Scholar 

  3. J. Delsarte and J. L. Lions,Moyennes généralisées, Comment. Math. Helv.33 (1959), 59–69.

    Article  MATH  MathSciNet  Google Scholar 

  4. Charles F. Dunkl and Donald E. Ramirez,Topics in Harmonic Analysis, Appleton-Century-Crofts, 1971.

  5. A. Erdélyi (ed.),Higher Transcendental Functions, McGraw-Hill, 1953.

  6. Sigurdur Helgason,Differential Geometry and Symmetric Spaces, Academic Press, 1962.

  7. Peter Henrici,Addition theorems for general Legendre and Gegenbauer functions, J. Rat. Mech. Anal.4 (1955), 983–1018.

    MathSciNet  Google Scholar 

  8. Noel J. Hicks,Notes on Differential Geometry, Van Nostrand, 1965.

  9. E. W. Hobson,The theory of Spherical and Ellipsoidal Harmonics, Cambridge University Press, 1931.

  10. Fritz John,Plane Waves and Spherical Means, Interscience, 1955.

  11. M. Olevsky,Quelques théorèmes de la moyenne dans les espaces à courbure constante, C. R. (Dokl.) Acad. Sci. URSS (N. S.)45 (1944), 95–98.

    MathSciNet  Google Scholar 

  12. Peter Ungar,Freak theorem about functions on a sphere, J. London Math. Soc.29 (1954), 100–103.

    Article  MATH  MathSciNet  Google Scholar 

  13. Lawrence Zalcman,Analyticity and the Pompeiu problem, Arch. Rat. Mech. Anal.47 (1972), 237–254.

    Article  MATH  MathSciNet  Google Scholar 

  14. Lawrence Zalcman,Mean values and differential equations, Israel J. Math.14 (1973), 339–352.

    Article  MATH  MathSciNet  Google Scholar 

  15. Lawrence Zalcman,Analytic functions and harmonic analysis, inProceedings of the Symposium in Complex Analysis, Canterbury, 1973, J. Clunie and W. K. Hayman (eds.), Cambridge University Press, 1974, pp. 139–142.

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Berenstein, C.A., Zalcman, L. Pompeiu’s problem on spaces of constant curvature. J. Anal. Math. 30, 113–130 (1976). https://doi.org/10.1007/BF02786707

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