Publication Cover
Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 9
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Original Articles

Characterization of compactly supported refinable splines with integer matrix

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Pages 1397-1407 | Received 20 Jan 2009, Accepted 24 Aug 2009, Published online: 03 Nov 2009

References

  • Lawton , W and Lee , SL . 1995 . Zuowei Shen, Characterization of compactly supported refinable splines . Adv. Comput. Math. , 3 : 137 – 145 .
  • Sun , Q . 1996 . Refinable Function with Compact Support . J. Approx. Theory , 86 : 240 – 252 .
  • Guan , Y , Lv , S and Tang , Y . 2005 . Character of Compactly Supported Refinable Spline Whose Shifts Form a Riesz Basis . J. Approx. Theory , 133 : 245 – 250 .
  • Goodman , TNT . 1998 . “ Refinable spline functions ” . In Approximation Theory IX , Edited by: Chui , Charels C and Schumaker , Larry L . 1 – 25 . Nashville, TN : Vanderbilt University Press .
  • Goodman , TNT and Hardin , D . 2005 . “ Refinable shift invariant spaces of spline functions ” . In Mathematical Methods for Curves and Surfaces: Tromso 2004 , Edited by: Daehlen , H , Morken , K and Schumaker , LL . 179 – 197 . Brentwood : Nashboro Press .
  • Jia , RQ and Micchelli , CA . 1992 . On linear independence of integer translates of a finite number of functions . Proc. Edinburgh Math. Soc. , 36 : 69 – 75 .
  • Sun , Q . 2001 . Stability of the shifts of global supported distributions . J. Math. Anal. Appl. , 261 : 113 – 125 .

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