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Completeness of Basic Trigonometric Systems

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An Introduction to Basic Fourier Series

Part of the book series: Developments in Mathematics ((DEVM,volume 9))

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Abstract

In this chapter we continue the study of completeness of the basic trigonometric system initiated in Section 6.2. Here we first present an independent proof of this important property in L 2 and then extend it to certain L p-spaces.

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© 2003 Springer Science+Business Media Dordrecht

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Suslov, S.K. (2003). Completeness of Basic Trigonometric Systems. In: An Introduction to Basic Fourier Series. Developments in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3731-8_7

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  • DOI: https://doi.org/10.1007/978-1-4757-3731-8_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5244-8

  • Online ISBN: 978-1-4757-3731-8

  • eBook Packages: Springer Book Archive

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