Proceedings: Advances in Multivariate Approximation

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 35 KB
• Volume: 112
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.2001.3608

✦ Synopsis

problems are the subject of Chapter 6, which gives a variational characterization of spline interpolation, error estimates, and convergence results.

The Gabor and Toeplitz transforms are described in Chapter 9, which is followed by the continuous wavelet transform in Chapter 10 and the discrete wavelet transform in Chapter 11. The basic tool is the theory of singular integrals on the sphere, which is given in Chapter 8.

Geoscientists and approximators will welcome this book as a fine exposition and collection of material which was otherwise only to be found in research journals. The bibliographical notes given at the end of each chapter allow interested researchers to find additional material.