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Characterization of the support of pseudomeasures on R

Published online by Cambridge University Press:  24 October 2003

F. J. GONZÁLEZ VIELI
F. J. GONZÁLEZ VIELI
Affiliation:
Institut de Mathématiques, Université de Lausanne, 1015 Lausanne, Switzerland
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Abstract

We prove that a point $x$ in R is out of the support of a pseudomeasure $T$ on R if and only if the Fourier integral of $T$ at $x$ is summable with Cesàro means of order 1 to zero.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 3 , November 2003 , pp. 431 - 442
Copyright
© 2003 Cambridge Philosophical Society

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