Volume 13, Issue 2 (10-2018)
IJMSI 2018, 13(2): 15-27 |
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Osgooei E. New Approaches to Duals of Fourier-like Systems. IJMSI 2018; 13 (2) :15-27
URL: http://ijmsi.ir/article-1-729-en.html
URL: http://ijmsi.ir/article-1-729-en.html
Abstract:
The sequences of the form ${E_{mb}g_{n}}_{m, ninmathbb{Z}}$, where $E_{mb}$ is the modulation operator, $b>0$ and $g_{n}$ is the window function in $L^{2}(mathbb{R})$, construct Fourier-like systems. We try to consider some sufficient conditions on the window functions of Fourier-like systems, to make a frame and find a dual frame with the same structure. We also extend the given two Bessel Fourier-like systems to make a pair of dual frames and prove that the window functions of Fourier-like Bessel sequences share the compactly supported property with their extensions. But for polynomials windows, a result of this type does not happen.
Type of Study: Research paper |
Subject:
Special
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