Generalized Harmonic Analysis and Wavelet Packets

This monograph offers an extended treatment of transmutation operators connected with the Bessel operator, examining many of their properties. Such operators are central to a thorough understanding of Bessel harmonic analysis and Bessel wavelet packets.

The text threads applications of these theories, and of their generalizations, through its discussion, supported by a substantial set of problems and bibliographic references.

It is aimed at graduate students and researchers in special functions, Fourier analysis, hypergroup and operator theory, differential equations, probability and mathematical physics. The background material is detailed enough for a graduate student to move quickly from the fundamentals to current research in generalized harmonic analysis and wavelets.