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Paley–Wiener Functions with a Generalized Spectral Gap

✍ Scribed by N. Blank; A. Ulanovskii


Publisher
SP Birkhäuser Verlag Boston
Year
2010
Tongue
English
Weight
427 KB
Volume
17
Category
Article
ISSN
1069-5869

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📜 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

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.