Spline Wavelets on the Unit Circle

1. H.L. Chen, Quasiinterpolant splines on the unit circle. J. Approx. Theory Vol. 38, No. 4 (1983), 312–318.

   Article  MathSciNet  MATH  Google Scholar 

2. H.L. Chen, Interpolation by splines on finite and infinite planar sets. Chin. Ann. of Math. 5B(3) (1984), 375–390.

   Google Scholar 

3. H.L. Chen, Tron Hvaring, Approximation of complex harmonic functions by complex harmonic splines. Math. Comp. 42 (1984), 151–164.

   Article  MathSciNet  MATH  Google Scholar 

4. H.L. Chen, Interpolation and approximation on the unit disc by complex harmonic splines. J. Approx. Theory Vol. 43, No. 2 (1985), 112–123.

   Article  MathSciNet  MATH  Google Scholar 

5. G. Walz, Spline Funktionen im Komplexen. BI-Wiss-Verl. Mannheim; Wien; Zurich (1991).

   MATH  Google Scholar 

6. Y. Meyer, Wavelets and Operators,Cambridge Univ. Press, Cambridge 1993.

   Book  Google Scholar 

7. I. Daubechies, Ten Lectures on Wavelets, CBMS, 61, SIAM, Philadelphia, 1992.

   Book  MATH  Google Scholar 

8. V. Perrier, C. Basdevant, Periodical wavelet analysis, a tool for inhomogeneous field investigation. Theory and algorithms, Rech. Aérospat. 1989-3, 53-67.

9. G. Plonka, M. Tasche, A unified approach to periodic wavelets, in: Wavelets: Theory, Algorithms, and Applications, C. K. Chui, L. Montefusco, and L. Puccio (eds.), (1994), 137-151.

10. Y. W. Koh, S.L. Lee, H. H. Tan, Periodic orthogonal splines and wavelets, in Appl. Comput. Harmonic Anal., 2(1995), 201–218.

    Article  MathSciNet  MATH  Google Scholar 

11. S. Dahlke, Multiresolution analysis and wavelets on locally compact abelian groups. in Wavelets, Images and Surface Fitting, P.L. Laurent, A. Le Méhauté and L. L. Schumaber (eds), AK Peters 1994, 141-156.

12. M. Kamada, K. Toraichi and R. Mori, Periodic orthonormal Bases, J. Appr. Th. 55, 27–34(1988).

    Article  MathSciNet  MATH  Google Scholar 

13. H.L. Chen, Construction of orthonormal wavelet basis in periodic case. to appear in Chinese Science Bulletin.

14. H.L. Chen, Wavelets from trigonometric spline approach, to appear in Journal of Approximation Theory and its Applications.

15. I.J. Schoenberg, On polynomial spline functions on the circle I, II. In: Proc. Conf. Constructive Theory of Functions, G. Alexits and S.B. Steckin (eds.), Budapest (1971), 403-433.

16. C.de. Boor and G.J. Fix, spline approximation by quasiinterpolants, J. Approx. Theory 8 (1973), 19–45.

    Article  MATH  Google Scholar 

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