Source: Duke Math. J.
Volume 90, Number 1
[BT1] C. A. Berenstein and E. C. Tarabusi, Range of the $k$-dimensional Radon transform in real hyperbolic spaces, Forum Math. 5 (1993), no. 6, 603–616.
[BT2] C. A. Berenstein and C. E. Tarabusi, Inversion formulas for the $k$-dimensional Radon transform in real hyperbolic spaces, Duke Math. J. 62 (1991), no. 3, 613–631.
[Eg] M. Eguchi, Asymptotic expansions of Eisenstein integrals and Fourier transform on symmetric spaces, J. Funct. Anal. 34 (1979), no. 2, 167–216.
[Er]1 A. Erdélyi, et al., Higher transcendental functions. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953.
[Er]2 A. Erdélyi, et al., Higher transcendental functions. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953.
[FO] M. Flensted-Jensen and K. Okamoto, An explicit construction of the $K$-finite vectors in the discrete series for an isotropic semisimple symmetric space, Mém. Soc. Math. France (N.S.) (1984), no. 15, 157–199.
[GGG] I. M. Gel'fand, S. G. Gindikin, and M. I. Graev, Integral geometry on affine and projective spaces, J. Soviet Math. 18 (1982), 39–164.
[GG] I. M. Gel'fand and M. I. Graev, Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Amer. Math. Soc. Transl. Ser. 2, vol. 37, Amer. Math. Soc., Providence, 1964, pp. 351–429.
[Go1] F. B. Gonzalez, Range characterization of the $k$-plane transform on real projective spaces, 75 years of Radon transform (Vienna, 1992), Conf. Proc. Lecture Notes Math. Phys., IV, Internat. Press, Cambridge, MA, 1994, pp. 153–160.
[Go2] F. B. Gonzalez, Invariant differential operators and the range of the Radon $D$-plane transform, Math. Ann. 287 (1990), no. 4, 627–635.
[Gr] E. L. Grinberg, On images of Radon transforms, Duke Math. J. 52 (1985), no. 4, 939–972.
[He1] S. Helgason, The surjectivity of invariant differential operators on symmetric spaces. I, Ann. of Math. (2) 98 (1973), 451–479.
[He2] S. Helgason, A duality for symmetric spaces with applications to group representations. II. Differential equations and eigenspace representations, Advances in Math. 22 (1976), no. 2, 187–219.
[He3] S. Helgason, The totally-geodesic Radon transform on constant curvature spaces, Integral geometry and tomography (Arcata, CA, 1989), Contemp. Math., vol. 113, Amer. Math. Soc., Providence, RI, 1990, pp. 141–149.
[He4] S. Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press Inc., Orlando, FL, 1984.
[Jo] F. John, The ultrahyperbolic differential equation with four independent variables, Duke Math. J. 4 (1938), 300–322.
[Kn] A. W. Knapp, Representation Theory of Semisimple Groups: An Overview Based on Examples, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986.
[Ku1] Á. Kurusa, The Radon transform on hyperbolic space, Geom. Dedicata 40 (1991), no. 3, 325–339.
[Ku2] Á. Kurusa, A characterization of the Radon transform's range by a system of PDEs, J. Math. Anal. Appl. 161 (1991), no. 1, 218–226.
[Ri] F. Richter, On the $k$-dimensional Radon-transform of rapidly decreasing functions, Differential geometry, Peñíscola 1985, Lecture Notes in Math., vol. 1209, Springer, Berlin, 1986, pp. 243–258.
[Sch] H. Schlichtkrull, Hyperfunctions and harmonic analysis on symmetric spaces, Progress in Mathematics, vol. 49, Birkhäuser Boston Inc., Boston, MA, 1984.
[St1] R. S. Strichartz, The explicit Fourier decomposition of $L\sp2(\rm SO(n)/\rm SO(n-m))$, Canad. J. Math. 27 (1975), 294–310.
[St2] R. S. Strichartz, $L\sp p$ estimates for Radon transforms in Euclidean and non-Euclidean spaces, Duke Math. J. 48 (1981), no. 4, 699–727.
[Su] M. Sugiura, Fourier series of smooth functions on compact Lie groups, Osaka J. Math. 8 (1971), 33–47.