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Frames in Hilbert Spaces

  • Christopher Heil
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

So far in this volume we have mostly focused on bases, which provide unique series representations of vectors in Banach spaces in terms of the basis vectors. Intuitively, uniqueness seems to be important, if not essential, to any practical use of series representations. Yet in many applications uniqueness turns out to be more of a hindrance than a help. For example, suppose that is a basis for a Banach space.

Keywords

Hilbert Space Riesz Basis Tight Frame Dual Frame Gabor 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

© Birkhäuser Boston 2011

Authors and Affiliations

  1. 1.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA

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