𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An isomorphism of Paley-Wiener type

✍ Scribed by Michael Niggemann


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
578 KB
Volume
118
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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

Paley–Wiener-Type Theorems for a Class o
✍ 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

Generalized Spectral Projections on Symm
✍ William O. Bray 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 734 KB

On a symmetric space X=GÂK of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.