Bücher der Reihe Studies in Advanced Mathematics

Presents an introduction to wavelet analysis. This book explains the subject using algebra and some basic calculus, and stresses applications, such as speech compression, removing noise from audio and images, image compression, and image enhancement.

Treats the dynamics of both iteration of functions and solutions of ordinary differential equations. This book introduces various concepts for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. It concentrates on properties of the whole system or subsets of the system.

Offers an introduction to the basic properties of wavelets, from background math to powerful applications. This book provides elementary methods for constructing wavelets, and illustrates several classes of wavelets. It offers a description of local sine and cosine bases that have been shown to be very effective in applications.

Offers a collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. This book is suitable for a general scientific and engineering audience, harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, and applied mathematicians.

Presenting an array of new topics, "Mathematical Quantization" explores operator algebras. For graduate students, this text offers an introduction to a large area of active research, and for professionals in operating algebras and functional analysis, it provides a tour of the field.

Offers an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. This book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form.

Focuses on material useful to control specialists working in the disciplines of electrical, mechanical, and aerospace engineering. This book offers an introduction to the abstract basic function spaces and operators, then studies problems in the Hilbert space setting.