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Proceedings of the American Mathematical Society

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

 
 

 

Spectral synthesis of functions of bounded variation


Author: Aharon Atzmon
Journal: Proc. Amer. Math. Soc. 47 (1975), 417-422
DOI: https://doi.org/10.1090/S0002-9939-1975-0352880-1
MathSciNet review: 0352880
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Abstract: It is proved that every bounded measurable function on $ ( - \infty ,\infty )$ which for some constant $ a > 0$ is of bounded variation on $ ( - \infty , - a)$ and on $ (a,\infty )$, admits spectral synthesis in the weak-star topology of $ {L^\infty }( - \infty ,\infty )$.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0352880-1
Article copyright: © Copyright 1975 American Mathematical Society

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