𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Paley–Wiener Theorem for the Hankel Transform of Colombeau Type Generalized Functions

✍ Scribed by J.J Betancor; L Rodrı́guez-Mesa

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
230
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we establish a Paley᎐Wiener theorem for the Hankel transformation on generalized functions of Colombeau type.

📜 SIMILAR VOLUMES

Paley-Wiener Type Theorems for Colombeau
Paley-Wiener Type Theorems for Colombeau′s Generalized Functions
✍ M. Nedeljkov; S. Pilipovic 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 460 KB

We define the Laplace transformation for elements of Colombeau's spaces \(\mathscr{\varphi}_{c}\left(\mathbf{R}^{n}\right), \mathscr{G}_{c}^{x}\left(\mathbf{R}^{n}\right)\) and \(\mathscr{G}_{1}(\Gamma)\), where \(\Gamma\) is a cone. We obtain, in Theorems 1,2 , and 4 , the "expected" Paley-Wiener t

Hankel Transformation of Colombeau Type
Hankel Transformation of Colombeau Type Tempered Generalized Functions
✍ Jorge J Betancor; Lourdes Rodrı́guez-Mesa 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 309 KB

In this note the Hankel transformation on a new class of generalized functions of Colombeau type is defined. Also we investigate the Hankel convolution and the Hankel translation on that space of generalized functions.

Paley–Wiener-Type Theorems for a Class o
Paley–Wiener-Type Theorems for a Class of Integral Transforms
✍ Vu Kim Tuan; Ahmed I. Zayed 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 176 KB

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, ou