Finite Frames

Because of their resilience to additive noise, quantization, and erasures, and their ability to capture valuable signal characteristics, Hilbert space frames have long served as a valuable tool for signal and image processing. More recently, frame theory has grown into an interesting research topic in its own right, with myriad applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on the topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject.Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including:frame constructionsgroup framesfusion framespseudo-framesframes and algebraic geometryrobustness against erasures.Despite the variety of its chapters' source and content, the book's notation and terminology is unified throughout and provides a definitive picture of the current state of frame theory.With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, quantum computing, and medicine. It is designed to be used as a supplemental textbook, self-study guide, or reference book.