The Banach envelope of Paley-Wiener type spaces
نویسندگان
چکیده
منابع مشابه
The Banach Envelope of Paley-wiener Type Spaces
We give an explicit computation of the Banach envelope for the Paley-Wiener type spaces E, 0 < p < 1. This answers a question by Joel Shapiro.
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We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
متن کاملGeneralizingc the Paley-wiener Perturbation Theory for Banach Spaces
We extend the Paley-Wiener pertubation theory to linear operators mapping a subspace of one Banach space into another Banach space.
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The Fourier transforms of functions with compact and convex supports in R are described. The Fourier transforms of functions with nonconvex and unbounded supports are also considered.
متن کاملVariational Splines and Paley-Wiener Spaces on Combinatorial Graphs
Notions of interpolating variational splines and Paley-Wiener spaces are introduced on a combinatorial graph G. Both of these definitions explore existence of a combinatorial Laplace operator on G. The existence and uniqueness of interpolating variational spline on a graph is shown. As an application of variational splines the paper presents a reconstruction algorithm of PaleyWiener functions o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06581-4