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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 10
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Original Articles

Smooth orthonormal wavelets with exponential decay in both time and frequency domains

Nanping Yang Department of Mathematics, Fu Jen Catholic University, Taipei, Taiwan
&
Chien-Chang Yen Department of Mathematics, Fu Jen Catholic University, Taipei, TaiwanCorrespondence[email protected]
Pages 1283-1291 | Received 01 Jun 2007, Accepted 08 Aug 2007, Published online: 21 Sep 2010

References

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  • Cohen , A . 1990 . Ondellets, Analysis multirésolutions et fitres en quadrature . Annales De Institut Henri Poincaré , 7 : 439 – 459 .
  • Cohen , A , Daubechies , I and Feauveau , J . 1992 . Biorthogonal bases of compactly supported wavelets . Communication on Pure and Applied Mathematics , 45 : 485 – 560 .
  • Dahmen , W . 1996 . Stability of multiscale transformations . Journal of Fourier Analysis and Application , 2 : 341 – 361 .
  • Daubechies , I . 1988 . Orthonormal bases of compactly supported wavelets . Communication on Pure and Applied Mathematics , 41 : 909 – 996 .
  • Daubechies , I . 1992 . Ten lectures on wavelets , Philadelphia, Pennsylvania : Siam .
  • Meyer , Y . 1985 . Principe d'incertitude, bases hilbertiennes et algéebres d'opéerateurs . Seminaire Bourbaki. , 662 : 1985 – 1986 .
  • Pinsky , MA . 2002 . Introduction to Fourier Analysis and Wavelets , Pacific Grove, CA : Brooks/cole .
  • Villemoes , L . 1992 . Energy moments in time and frequency of two-scale difference equations solutions and wavelets . SIAM Journal on Mathematical Analysis , 23 : 1519 – 1543 .

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