Injectivity of the spherical means operator;Injectivité de l'operateur de moyen spherique

Comptes Rendus Mathematique

Volumn 335, Issue 12, 2002, Pages 1033-1038

  Ramm, Alexander G ^a,b  

^a LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

^b KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053060     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02608-0     Document Type: Article

References (9)

1. M. Agranovsky, E. Quinto, Injectivity of the spherical mean operator and related problems, in: Pitman Res. Notes Math. Ser., Vol. 347, Longman, Harlow, 1996, pp. 12-36.
2. L. Anderson, On the determination of the function from spherical averages, SIAM J. Math. Anal. 19 (1988) 214-232.
3. R. Courant, D. Hilbert, Methods of Mathematical Physics, Interscience, New York, 1962.
4. M. Lavrent'ev, V. Romanov, S. Shishatskii, I11-Posed Problems of Mathematical Physics and Analysis, American Mathematical Society, Providence, RI, 1986.
5. P. Morse, H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.
6. A.G. Ramm, Scattering by Obstacles, Reidel, Dordrecht, 1986, pp. 1-442.
7. A.G. Ramm, Multidimensional Inverse Scattering Problems, Longman Scientific & Wiley, New York, 1992, pp. 1-385; Expanded Russian edition: Mir, Moscow, 1994, pp. 1-496.
8. A.G. Ramm, Spectral properties of the Schrödinger operator in some domains with infinite boundaries, Soviet Math. Dokl. 152 (1963) 282-285.
9. A.G. Ramm, Spectral properties of the Schrödinger operator in some infinite domains, Mat. Sb. 66 (1965) 321-343.