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Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

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Abstract

The next chapters will deal with generalizations of the basis concept, so it is natural to ask why they are needed. Bases exist in all separable Hilbert spaces and in practically all Banach spaces of interest, so why do we have to search for generalizations?

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© 2003 Springer Science+Business Media New York

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Christensen, O. (2003). Bases and their Limitations. In: An Introduction to Frames and Riesz Bases. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8224-8_4

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  • DOI: https://doi.org/10.1007/978-0-8176-8224-8_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6500-9

  • Online ISBN: 978-0-8176-8224-8

  • eBook Packages: Springer Book Archive

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