Wavelet Theory (Translations of Mathematical Monographs) - AMS

Explore the intersection of pure and computational mathematics with Wavelet Theory. This volume from the Translations of Mathematical Monographs series provides a systematic exposition of modern wavelet theory, making it an essential resource for students and professionals in applied mathematics. The text covers the construction of orthogonal and biorthogonal systems of wavelets while examining their structural and approximation properties. Readers will follow a logical progression from fundamental theory to advanced special topics and complex problems. Beyond the mathematical proofs, the book includes practical applications of wavelets in fields like audio and video signal processing, data compression, and information transmission. Each chapter includes historical commentary to provide context for the mathematical developments discussed. This book is a comprehensive guide for anyone studying the mathematical foundations used in modern digital signal processing and data science.