A new approach to inverse spectral theory, III. Short-range potentials

Journal d'Analyse Mathematique

Volumn 80, Issue , 2000, Pages 319-334

  Ramm, Alexander ^a   Simon, Barry ^b  

^a KANSAS STATE UNIVERSITY   (United States)

^b California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013242278     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02791540     Document Type: Article

References (11)

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2. F. Gesztesy and B. Simon, A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure, preprint.
3. B. Ya. Levin, Fourier- and Laplace-type transformations by means of solutions of a second-order differential equation, Dokl. Akad. Nauk SSSR 106 (1956), 187-190 (Russian).
4. V. A. Marchenko, Reconstruction of the potential energy from the phases of the scattered waves, Dokl. Akad. Nauk SSSR 104 (1955), 695-698 (Russian).
5. V. A. Marchenko, Sturm-Liouville Operators and Applications, Birkhäuser, Basel-Boston-Stuttgart, 1986.
6. A. G. Ramm, Recovery of the potential from I-function, C. R. Math. Rep. Acad. Sci. Canada 9 (1987), 177-182.
7. A. G. Ramm, Multidimensional Inverse Scattering Problems, Longman, New York, 1992.
8. A. G. Ramm, Property C for ODE and applications to inverse problems, Proceedings of the International Conference on Operator Theory, to appear.
9. A. G. Ramm and B. A. Taylor, Example of a potential in one-dimensional scattering problem for which there are infinitely many purely imaginary resonances, Phys. Lett. A124 (1987), 313-319.
10. B. Simon, A new approach to inverse spectral theory, I. Fundamental formalism, Ann. of Math., to appear.
11. M. Zworski, Distribution of poles for scattering on the real line, J. Funct. Anal. 73 (1987), 277-296.