IMPORTANCE OF ZAK TRANSFORMS FOR HARMONIC ANALYSIS ...
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IMPORTANCE OF ZAK TRANSFORMS FOR HARMONIC ANALYSIS ...

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REVISTA DE LA UNION MATEMATICA ARGENTINA Vol. 52, No. 2, 2011, 105–113 IMPORTANCE OF ZAK TRANSFORMS FOR HARMONIC ANALYSIS EDWARD N. WILSON Abstract. In engineering and applied mathematics, Zak transforms have been effectively used for over 50 years in various applied settings. As Gelfand observed in a 1950 paper, the variable coefficient Fourier series ideas articulated in Andre Weil's famous book on integration lead to an exceedingly elementary proof of the Plancherel Theorem for LCA groups.
  • modulation representatioin φ
  • fg
  • zak transform z z
  • lca groups
  • l2 norms
  • abelian group representations
  • abelian group
  • inverse
  • fourier transform
  • l2

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Fall 2004 FirstTime FullTime DegreeSeeking Undergraduates
Cohort Number Kean University
(#)
Total 1254
(1)
Men 563
Women 691
White 594
Graduated after 4 Years (2)
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(1)
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Graduated after 6 Years (2)
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Women 375 54%
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Hispanic 37 15%
Hispanic 115 48%
Asian 95
Asian 19 20%
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Other* 48
Other* 9 19%
Other* 25 52%
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2736
12136
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NA
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331 24.2%
12 0.9%
Parttime Faculty
1024 74.9%
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1273 40.5%
50 1.6%
Parttime Faculty
1603 51.0%
Other (TA's, Staff, etc)
Other (TA's, Staff, etc)
215 6.8%