M.N. Lazhari
Paley-Wiener theorems for the Schrodinger operator on $\Bbb R$

Comment.Math.Univ.Carolinae 39,2 (1998) 227-235.

Abstract: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.

Keywords: Schrodinger operator, generalized eigenfunctions, generalized Fourier transforms, Paley-Wiener theorems
AMS Subject Classification: 47E05, 34B25