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Paley-Wiener theorems for the Schrodinger operator on $ℝ$

Mohamed Néjib Lazhari — 1998

Commentationes Mathematicae Universitatis Carolinae

In this paper we define and study generalized Fourier transforms associated with some class of Schrodinger operators on $ℝ$ . Next, we establish Paley-Wiener type theorems which characterize some functional spaces by their generalized Fourier transforms.

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Paley-Wiener theorems for the Schrodinger operator on ℝ

Paley-Wiener theorems for the Schrodinger operator on $ℝ$