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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Weak spectral synthesis


Author: C. Robert Warner
Journal: Proc. Amer. Math. Soc. 99 (1987), 244-248
MSC: Primary 43A45; Secondary 46J05
DOI: https://doi.org/10.1090/S0002-9939-1987-0870779-7
MathSciNet review: 870779
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Abstract: As an approach to the union problem for sets of spectral synthesis ($ S$-sets), the class of weak $ S$-sets is introduced. This class contains all finite unions of $ S$-sets, and it has many properties analogous to those of Calderón sets. It is closed under the operation of forming finite unions, but, in contrast to Calderón sets, it is not closed under countable unions.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0870779-7
Article copyright: © Copyright 1987 American Mathematical Society