Waves, Analyticity and Information provides an in-depth review of the mathematical models used to describe waves, their propagation and scattering, as well as the application of these models to the problems of signal and image processing and information retrieval. The book begins with an introduction to the basics of one- and two-dimensional wave propagation problems, describing the relationship between the real and imaginary parts of a wave. It then discusses more complex analytical techniques and advanced topics. This book is useful for graduate students and researchers in optics, electrical and electronic engineering and related topics involved in signal and image processing and remote sensing.