An Introduction to Wavelets is the first volume in a new series, WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, the author presents a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets. This monograph is self-contained, the only prerequisite being...

The book reviews the present status of understanding the nature of the most luminous objects in the Universe, connected with supermassive black holes and supermassive stars, clusters of galaxies and ultraluminous galaxies, sources of gamma-ray bursts and relativistic jets. Leading experts give overviews of essential physical mechanisms involved, discuss formation and evolution of these objects as well as prospects for their use in cosmology, as probes of the intergalactic medium at high redshifts and as a tool to study the end of dark ages. The theoretical models are complemented by new...

Discrete H Optimization is concerned with the study of H optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for...