Complete Orthonormal Systems

  • Pierre Brémaud
Chapter

Abstract

The result of this section is the pillar of the L 2-theory of Fourier series and wavelet expansions. It concerns the possibility of decomposing a vector of a Hilbert space along an orthonormal base.

Keywords

Separable Hilbert Space Orthonormal System Wavelet Expansion Reconstruction Formula Complete Orthonormal System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Pierre Brémaud
    • 1
    • 2
  1. 1.École Polytechnique Fédérale de LausanneSwitzerland
  2. 2.INRIA/École Normale SupérieureFrance

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