| Title:
|
Paley-Wiener theorems for the Schrodinger operator on $\Bbb R$ (English) |
| Author:
|
Lazhari, M. N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
227-235 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we define and study generalized Fourier transforms associated with some class of Schrodinger operators on $\Bbb R$. Next, we establish Paley-Wiener type theorems which characterize some functional spaces by their generalized Fourier transforms. (English) |
| Keyword:
|
Schrodinger operator |
| Keyword:
|
generalized eigenfunctions |
| Keyword:
|
generalized Fourier transforms |
| Keyword:
|
Paley-Wiener theorems |
| MSC:
|
34B24 |
| MSC:
|
34B25 |
| MSC:
|
34L05 |
| MSC:
|
47E05 |
| idZBL:
|
Zbl 0937.47050 |
| idMR:
|
MR1651934 |
| . |
| Date available:
|
2009-01-08T18:40:19Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119002 |
| . |
| Reference:
|
[1] Agranovich Z.S., Marchenko V.A.: Inverse problem of scattering theory (in Russian).K.G.U. Karkov, 1960. |
| Reference:
|
[2] Colin de Verdiere Y.: La matrice de scattering pour l'operateur de Schrodinger sur la droite réelle.Séminaire N. Bourbaki, 32e anné, Exposé no. 557, Juin 1980, p. 557-01 à 557-11. |
| Reference:
|
[3] Faddeev L.D.: Inverse problem of quantum scattering theory.J. Soviet Math. 5 (1976), 335-395. Zbl 0373.35014 |
| Reference:
|
[4] Faraut J.: Décomposition spectrale de l'opérateur de Schrodinger et matrice de diffusion.Séminaire d'analyse harmonique de Tunis, Exposé no. 20, Juin 1979. |
| Reference:
|
[5] Pogorzelski W.: Integral Equation and their Application.first edition, vol. 1, pp. 8-13, Pergamon Press, 1966. MR 0201934 |
| Reference:
|
[6] Titchmarch E.C.: Eigenfunction Expansion Associated with the Second Order Differential Equations.Oxford-Clarendon Press, 1948. |
| . |
