𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hankel Transformation of Colombeau Type Tempered Generalized Functions

✍ Scribed by Jorge J Betancor; Lourdes Rodrı́guez-Mesa


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
309 KB
Volume
217
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


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.


📜 SIMILAR VOLUMES


p-Adic Colombeau-Egorov type theory of g
✍ S. Albeverio; A. Yu. Khrennikov; V. M. Shelkovich 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

## Abstract The __p__‐adic Colombeau‐Egorov algebra of generalized functions on ℚ__^n^~p~__ is constructed. For generalized functions the operations of multiplication, Fourier‐transform, convolution, taking pointvalues are defined. The operations of (fractional) partial differentiation and (fractio

Local properties of Colombeau generalize
✍ Michael Oberguggenberger; Stevan Pilipovic; Dimitris Scarpalezos 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB

## Abstract Generalized functions as mappings defined on the set of generalized points are considered. Local properties of generalized functions, singular support and various types of 𝒢^∞^–regularity are analyzed. Suppleness and non–flabbyness are proved. Necessary and sufficient conditions on gene

Paley-Wiener Type Theorems for Colombeau
✍ 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