Banach Space Aspects of Frame Theory with Applications

By Deguang Han, Bei Liu, Qianfeng Hu

This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic analysis, and quantum information theory, the book highlights a novel perspective: frame theory not only serves as a powerful and central tool in mathematics and engineering, but is also deeply intertwined with the structure and theory of Banach spaces. Rather than providing an exhaustive treatment, the book offers a broadly relevant and accessible overview that enables researchers across various fields to quickly grasp the foundational ideas and explore related research directions.

• Format: Hardcover
• Language: English
• ISBN: 3032101735
• ISBN13: 9783032101730
• Release Date: April 2026
• Publisher: Springer
• Length: 244 Pages