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Article

Lazhari, M. N.
Paley-Wiener theorems for the Schrodinger operator on $\Bbb R$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 227-235
MSC: 34B24, 34B25, 34L05, 47E05 | MR 1651934 | Zbl 0937.47050
Keywords:
Schrodinger operator; generalized eigenfunctions; generalized Fourier transforms; Paley-Wiener theorems
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.
References:
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[6] Titchmarch E.C.: Eigenfunction Expansion Associated with the Second Order Differential Equations. Oxford-Clarendon Press, 1948.
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