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.
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
Keywords: Schrodinger operator; generalized eigenfunctions; generalized Fourier transforms; Paley-Wiener theorems
@article{CMUC_1998_39_2_a1,
author = {Lazhari, M. N.},
title = {Paley-Wiener theorems for the {Schrodinger} operator on $\Bbb R$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {227--235},
year = {1998},
volume = {39},
number = {2},
mrnumber = {1651934},
zbl = {0937.47050},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a1/}
}
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/