Problèmes inverses pour des équations différentielles sur la droite

R. Beals

Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983)

  • page 1-12

How to cite


Beals, R.. "Problèmes inverses pour des équations différentielles sur la droite." Séminaire Équations aux dérivées partielles (Polytechnique) (1982-1983): 1-12. <>.

author = {Beals, R.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {matrix function; selfadjoint operator},
language = {fre},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Problèmes inverses pour des équations différentielles sur la droite},
url = {},
year = {1982-1983},

AU - Beals, R.
TI - Problèmes inverses pour des équations différentielles sur la droite
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1982-1983
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - fre
KW - matrix function; selfadjoint operator
UR -
ER -


  1. [1] R. Beals, R. Coifman: Séminaire Goulaouic-Meyer-Schwartz 1980-81, exp. 22; 1981-1982, exp. 21, Ecole Polytechnique, Palaiseau. Zbl0475.35078
  2. [2] R. Beals, R. Coifman: Scattering and inverse scattering for first order systems, à paraître dans Comm. Pure Appl. Math. Zbl0514.34021MR728266
  3. [3] G. Borg: Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichungen durch die Eigenwerte, Acta Math.78 (1946), 1 - 96. Zbl0063.00523MR15185
  4. [4] R. K. Bullough, P. J. Caudrey, eds: Solitons, Topics in Current Physics n° 17, Springer, Berlin, 1980. Zbl0428.00010MR625877
  5. [5] P. Deift, E. Trubowitz: Inverse scattering on the line, Comm. Pure Appl. Math.32 (1979), 121-251. Zbl0388.34005MR512420
  6. [6] L.D. Faddeev: Properties of the S-matrix of the one-dimension Schrôdinger equation, Trudy Mat. Inst. Steklov73 (1964), 314-333; Amer. Math. Soc. Translations, ser. 2, 65, pp. 139-166. Zbl0181.56704MR178188
  7. [7] I.M. Gelfand, B.M. Levitan: On the determination of a differential operator from its spectral function, Izvest. Akad. Nauk15 (1951), 309-360; Amer. Math. Soc. Translations, Ser. 1, pp. 253-304. Zbl0044.09301MR45281
  8. [8] I. Kay, H.E. Moses: The determination of the scattering potential from the spectral measure function, III, Nuovo Cimento10 (1956), 276-304. Zbl0074.22501MR76961
  9. [9] Z.L. Leibenzon: An inverse problem of spectral analysis of ordinary differential operators of higher order, Trudy Mosk. Mat. Obšč.15 (1966), 70-144; Trans. Moscow Math. Soc.15 (1966), 78-163. Zbl0206.44601MR205116
  10. [10] Z.L. Leibenzon: Spectral resolutions of systems of boundary value problems, Trudy Mosk. Mat. Obšč.25 (1971), 15-58, Trans. Moscow Math. Soc.25 (1971), 13-62. Zbl0266.47040MR370267
  11. [11] V.A. Marčenko: The construction of the potential energy from the phases of the scattered waves, Doklady Akad. Nauk. SSSR104 (1955), 695-698. Zbl0066.06602MR75402

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.