Continuity of the radon transform and its inverse on Euclidean space

[1]  E. C. Titchmarsh Introduction to the Theory of Fourier Integrals , 1938 .

[2]  Robert S. Strichartz,et al.  $L^p$ estimates for Radon transforms in Euclidean and non-Euclidean spaces , 1981 .

[3]  M. Wilde Closed graph theorems and webbed spaces , 1978 .

[4]  Kennan T. Smith,et al.  Practical and mathematical aspects of the problem of reconstructing objects from radiographs , 1977 .

[5]  Donald Ludwig,et al.  Uniform asymptotic expansions at a caustic , 1966 .

[6]  L. Schwartz Théorie des distributions , 1966 .

[7]  Gabor T. Herman,et al.  Mathematical Aspects of Computerized Tomography , 1981, Lecture Notes in Medical Informatics.

[8]  Eric Todd Quinto,et al.  The dependence of the generalized Radon transform on defining measures , 1980 .

[9]  L. Schwartz Théorie des distributions à valeurs vectorielles. I , 1957 .

[10]  L. Ehrenpreis Fourier analysis in several complex variables , 1970 .

[11]  Alexander P. Hertle A CHARACTERIZATION OF FOURIER AND RADON TRANSFORMS ON EUCLIDEAN SPACE , 1982 .

[12]  Shlomo Sternberg,et al.  Geometric Asymptotics, Revised edition , 1977 .

[13]  A. Grothendieck,et al.  Produits Tensoriels Topologiques Et Espaces Nucleaires , 1966 .

[14]  Sigurdur Helgason,et al.  The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds , 1965 .

[15]  S. Helgason The Radon Transform , 1980 .

[16]  F. John Abhängigkeiten zwischen den Flächenintegralen einer stetigen Funktion , 1935 .

[17]  V. Guillemin The radon transform on zoll surfaces , 1976 .

[18]  S. Helgason The surjectivity of invariant di erential operators on symmetric spaces , 1973 .

[19]  Frank Natterer,et al.  A Sobolev Space Analysis of Picture Reconstruction , 1980 .

[20]  Egon Ullrich,et al.  Dr. Wolfgang Gröbner (Prof. a. d. Universität Innsbruck) und Dr. Nikolaus Hofreiter (Prof. a. d. Universität Wien). Integraltafel. Zweiter Teil. Bestimmte Integrale. VI + 204S Springer‐Verlag, Wien und Innsbruck 1950. Preis 24,— DM , 1952 .

[21]  F. John Bestimmung einer Funktion aus ihren Integralen Über gewisse Mannigfaltigkeiten , 1934 .

[22]  E. Stein Singular Integrals and Di?erentiability Properties of Functions , 1971 .

[23]  F. John Plane Waves and Spherical Means: Applied To Partial Differential Equations , 1981 .

[24]  H. Triebel Interpolation Theory, Function Spaces, Differential Operators , 1978 .

[25]  Frank Natterer,et al.  The finite element method for ill-posed problems , 1977 .

[26]  Jerrold E. Marsden,et al.  Review: Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, and Nolan R. Wallach, Symplectic geometry and Fourier analysis , 1979 .

[27]  A. Louis,et al.  Picture reconstruction from projections in restricted range , 1980 .