Lothar M. Schmitt
Review of Wavelets through a Looking Glass: The World of the Spectrum by Ola Bratteli and Palle Jorgensen, Applied and Numerical Harmonic Analysis, Birkhäuser, Boston, 2002.
This is an important mathematical reference written in excellent style. Wavelets have found applications in many areas of engineering and CS. The authors provide a detailed, rich and entertaining tour through this relatively young but important field for both math and CS/Eng. Connections are, e.g., made between advanced CS virtual-reality applications such as audio-systems processing, future applications such as quantum computing, and advanced math in functional analysis and operator theory.