Geodesic
Paley-Wiener theorems for the Schrodinger operator on $\Bbb R$
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 227-235.

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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.
Classification : 34B24, 34B25, 34L05, 47E05
Keywords: Schrodinger operator; generalized eigenfunctions; generalized Fourier transforms; Paley-Wiener theorems 
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     title = {Paley-Wiener theorems for the {Schrodinger} operator on $\Bbb R$},
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Lazhari, M. N. Paley-Wiener theorems for the Schrodinger operator on $\Bbb R$. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 227-235. http://geodesic.mathdoc.fr/item/CMUC_1998__39_2_a1/