How to Make Nontrivial the Spectrum of a Translation Invariant Space of Smooth Functions

The paper contains a construction of the extended spectrum of a translation invariant closed linear subspace of E ( R n ). We prove that the extended spectrum is nontrivial.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1995-12, Vol.196 (3), p.1030-1049
Main Author: Wawrzynczyk, A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
Online Access:Get full text
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Description
Summary:The paper contains a construction of the extended spectrum of a translation invariant closed linear subspace of E ( R n ). We prove that the extended spectrum is nontrivial.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1995.1459