Details

Autor(en) / Beteiligte

• Tuan, Vu Kim
• Zayed, Ahmed I.

Titel

Paley–Wiener-Type Theorems for a Class of Integral Transforms

Ist Teil von

• Journal of mathematical analysis and applications, 2002-02, Vol.266 (1), p.200-226

Ort / Verlag

San Diego, CA: Elsevier Inc

Erscheinungsjahr

2002

Link zum Volltext

Quelle

EZB-FREE-00999 freely available EZB journals

Beschreibungen/Notizen

• A characterization of weighted L2(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.