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Estimates of averages of Fourier transforms with respect to general measures

Published online by Cambridge University Press:  12 July 2007

Per Sjölin  and
Fernando Soria
Per Sjölin
Affiliation:
Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden (pers@math.kth.se)
Fernando Soria
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, E-280 49 Madrid, Spain (fernando.soria@uam.es)
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Abstract

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We study a connection between the L2 average decay of the Fourier transform of functions with respect to a given measure and the Hausdorff behaviour of that measure.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 4 , August 2003 , pp. 943 - 950
Copyright
Copyright © Royal Society of Edinburgh 2003