On the gibbs phenomenon for wavelet expansions

Journal of Approximation Theory

Volumn 84, Issue 1, 1996, Pages 74-95

  Shim, Hong Tae ^a   Volkmer, Hans ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0029703990     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.0006     Document Type: Article

References (16)

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2. 2. G. A. BATTLE, A block spin construction of ondelettes. Lemarié functions, Comm. Math. Phys. 110 (1987), 601-615.
3. 3. H. S. CARSLAW, A historical note on the Gibbs phenomenon in Fourier's series and integrals, Bull. Amer. Math. Soc. 31 (1925), 420-424.
4. 4. C. K. CHUI, "An Introduction to Wavelets," Academic Press, New York, 1992.
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6. 6. I. DAUBECHIES, "Ten Lectures on Wavelets," CBMS-NSF Series in Appl. Math., SIAM, Philadelphia, 1992.
7. 7. H. DYM AND H. P. MCKEAN, "Fourier Series and Integrals," Academic Press, New York, 1972.
8. 8. J. W. GIBBS, Letter to the editor, Nature (London) 59 (1899), 606.
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10. 10. Y. KATZNELSON, "An Introduction to Harmonic Analysis," Wiley, New York, 1968.
11. 11. S. KELLY, Gibbs phenomenon for wavelets, submitted.
12. 12. P. G. LEMARIÉ, Ondelettes à localisation exponentielles, J. Math. Pures Appl. 67 (1988), 227-236.
13. 13. Y. MEYER, "Ondelettes," Hermann, Paris, 1990.
14. 14. F. B. RICHARDS, A Gibbs phenomenon for spline functions, J. Approx. Theory 66 (1991), 334-351.
15. 15. H.-T. SHIM, "On the Gibbs Phenomenon for Wavelet Subspaces and Summability," Ph.D. thesis, University of Wisconsin-Milwaukee, 1994.
16. 16. G. G. WALTER, "Wavelets and other Orthogonal Wavelets with Applications," CRC Press, Boca Raton, 1994.