Publication Cover
Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 3-4
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Original Articles

Biorthogonality of pairs of L2-stable compactly supported refinable spline functions with simple half-integer knots

Pages 391-397 | Received 01 Nov 1998, Published online: 02 May 2007

References

  • Daubechies , I. 1988 . Orthonormal bases of compactly supported wavelets . Comm. on Pure and Appl. Math , XLI : 909 – 996 .
  • Donovan , G. , Geronimo , J.S. , Hardin , D.P. and Massopust , P.R. 1996 . Construction of othogonal wavelets using fractal interpolation functions . SIAM J. Math. Anal , XLI
  • Goodman T.N.T. Characterising pairs of refinable splines preprint
  • Goodman T.N.T. Lee S.L. Linear independence and stability of refinable vectors of spline functions, J. Approx. Theory, to appear.
  • Lawton , W. , Lee , S.L. and Shen , Z.W. 1995 . Characterization of compactly supported refinable splines . Advances in Computational Mathematics , 3 : 137 – 145 .
  • Tang W.S. Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces Proc. Amer. Math. Soc., to appear.

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