Paley-Wiener-type theorems for a class of integral transforms
Abbreviated Journal Title
J. Math. Anal. Appl.
Paley-Wiener theorem; singular Sturm-Liouville problems; Fourier; transform; Hankel transform; Weber transform; Jacobi transform; Kontorovich-Lebedev transform; RANGE; Mathematics, Applied; Mathematics
A characterization of weighted L-2(I) spaces in terms of their images under various integral transformations is derived, where I is an interval (finite or infinite), This characterization is then used to derive Paley-Wiener-type theorems for these spaces. Unlike the classical Paley-Wiener theorem, our theorems use real variable techniques and do not require analytic continuation to the complex plane. The class of integral transformations considered is related to singular Sturm-Liouville boundary-value problems on a half line and on the whole line. (C) 2002 Elsevier Science.
Journal of Mathematical Analysis and Applications
"Paley-Wiener-type theorems for a class of integral transforms" (2002). Faculty Bibliography 2000s. 3513.