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Dual of a Wilson Frame

Journal Name:

  • European Journal of Mathematical Sciences

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In this paper Wilson frame as a generalization of Wilson bases has been defined. A sufficent condition for a Wilson system to be a Wilson Bessel sequence in terms of a Gabor Bessel sequence has been given. It is shown that the canonical dual frame of a Wilson frame may not have a Wilson structure.Also,a sufficient condition for two Wilson Bessel sequences to be dual frames has been given in terms of dual Gabor frames.
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  • English

REFERENCES

References: 

[1] K. Bittner. Linear approximation and reproduction of polynomials by Wilson bases, J.
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[2] O. Christensen. Frames and Bases: An Introductory Course, Birkhausher, Boston, 2008.
REFERENCES 26
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[9] K.G. Wilson. “Generalised Warnier functions”, preprint, Cornell university, 1987.
[10] P. Wojdyllo. Modified Wilson Orthonormal Bases, Sampling theory in Signal and Image
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