Gibbs Phenomenon in Wavelet Analysis

Results in Mathematics

Volumn 34, Issue 3-4, 1998, Pages 330-341

  Karanikas, C ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

42A50; 42C99; 94A12; Gibbs Phenomenon

Indexed keywords

EID: 0348033360     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322059     Document Type: Article

References (10)

1. Chui, C.K., An Introduction to Wavelets. Academic Press, New York, 1991
2. Daubechies, I, Ten Lectures on Wavelets. Capital City press, Vermont, 1992
3. Holshneider, M., Wavelets an Analysis Tool. Oxford Science Publication, Oxford, 1995
4. Jerri, A.J., Error Analysis in Applications of Generalization of the Sampling Theorem. In: Advanced Topics in Shannon Sampling, R.J. Marks II (ed), Springer, New York, 1993
5. Jerri, A.J., Integral and Discrete Transforms With Applications and Error Analysis. Marcel Decker, New York, 1992
6. Jerri, A.J., The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations. Kluwer Academic Publishers, (1997 Preprint)
7. Papoulis, A., The Fourier Integrals and its Applications. McGraw Hill, New York, 1962
8. Tichmarsh, E.C., Introduction to the Theory of Fourier Integrals. Oxford University Press, Oxford, 1948
9. Walter, G. G., Wavelets and other orthogonal systems with applications. CRC, 1994
10. Zygmund, A., Trigonometric Series I and II. 2nd edition, Cambridge Univ. Press, Cambridge, 1959