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Frames in Finite-dimensional Inner Product Spaces

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

Abstract

In the study of vector spaces one of the most important concepts is that of a basis, allowing each element in the space to be written as a linear combination of the elements in the basis. However, the conditions to a basis are very restrictive — no linear dependence between the elements is possible and sometimes we even want the elements to be orthogonal with respect to an inner product. This makes it hard or even impossible to find bases satisfying extra conditions, and this is the reason that one might look for a more flexible tool.

Keywords

Orthonormal Basis Discrete Fourier Transform Product Space Trigonometric Polynomial Tight Frame 
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 2003

Authors and Affiliations

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

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