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.
| ISBN: | 9783032101730 |
| Publication date: | 17th February 2026 |
| Author: | Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu |
| Publisher: | Springer an imprint of Springer Nature Switzerland |
| Format: | Hardback |
| Pagination: | 270 pages |
| Series: | Synthesis Lectures on Mathematics & Statistics |
| Genres: |
Functional analysis and transforms Numerical analysis Differential and Riemannian geometry Complex analysis, complex variables Calculus and mathematical analysis Quantum physics (quantum mechanics and quantum field theory) Mathematical theory of computation |
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.
Banach Space Aspects of Frame Theory With Applications features in the following genres: Functional analysis and transforms, Numerical analysis, Differential and Riemannian geometry, Complex analysis, complex variables, Calculus and mathematical analysis, Quantum physics (quantum mechanics and quantum field theory), Mathematical theory of computation
Banach Space Aspects of Frame Theory With Applications is available in Hardback
Banach Space Aspects of Frame Theory With Applications was written by Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu and published by Springer an imprint of Springer Nature Switzerland
Banach Space Aspects of Frame Theory With Applications has 270 pages
Yes it is part of Synthesis Lectures on Mathematics & Statistics series
£31.49