Bases and their Limitations

  • Ole Christensen
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


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?


Orthonormal Basis Separable Hilbert Space Fast Decay Multiresolution Analysis Riesz Basis 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Ole Christensen
    • 1
  1. 1.Department of MathematicsTechnical University of DenmarkLyngbyDenmark

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