✦ LIBER ✦

W. Freeden, T. Gervens, and M. Schreiner, Constructive Approximation on the Sphere, with Application to Geomathematics

✍ Scribed by Walter Van Assche

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 45 KB
Volume: 112
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3607

No coin nor oath required. For personal study only.

✦ Synopsis

explained how Daubechies used this Fourier transform to construct wavelets. The existence, uniqueness, and orthogonality of Daubechies wavelets is proved. It is also shown how other wavelets can be designed using the Fourier transform. Finally, Chapter 9 shows that wavelets can approximate signals accurately.

The author has indeed succeeded in writing a book for the intended audience. This is highly recommended as a textbook for an undergraduate course on (Fourier analysis and) wavelets.