eBook
Banach Space Aspects of Frame Theory with Applications
| Title: | Banach Space Aspects of Frame Theory with Applications |
|---|---|
| Description: | 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. |
| Authors: | Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu |
| Resource Type: | eBook. |
| Subjects: | Harmonic analysis, Mathematical analysis, Functional analysis, Frames (Vector analysis), Banach spaces, Mathematics--Data processing, Quantum computers, Geometry, Differential |
| Categories: | MATHEMATICS / Functional Analysis |
| Database: | eBook Index |
| ISBN: | 9783032101730 9783032101747 |
|---|