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Part of the book series: Lecture Notes in Statistics ((LNS,volume 129))

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Abstract

This small chapter is here to summarize the classical facts of Fourier analysis that will be used in the sequel. We omit the proofs (except for the Poisson summation formula). They can be found in standard textbooks on the subject, for instance in Katznelson (1976), Stein & Weiss (1971).

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© 1998 Springer-Verlag New York, Inc.

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Härdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (1998). Some facts from Fourier analysis. In: Wavelets, Approximation, and Statistical Applications. Lecture Notes in Statistics, vol 129. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2222-4_4

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  • DOI: https://doi.org/10.1007/978-1-4612-2222-4_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98453-7

  • Online ISBN: 978-1-4612-2222-4

  • eBook Packages: Springer Book Archive

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