1 option
Banach Space Aspects of Frame Theory with Applications / by Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Han, Deguang.
- Series:
- Synthesis Lectures on Mathematics & Statistics, 1938-1751
- Language:
- English
- Subjects (All):
- Functional analysis.
- Harmonic analysis.
- Mathematical analysis.
- Mathematics--Data processing.
- Mathematics.
- Quantum computers.
- Geometry, Differential.
- Functional Analysis.
- Abstract Harmonic Analysis.
- Analysis.
- Computational Mathematics and Numerical Analysis.
- Quantum Computing.
- Differential Geometry.
- Local Subjects:
- Functional Analysis.
- Abstract Harmonic Analysis.
- Analysis.
- Computational Mathematics and Numerical Analysis.
- Quantum Computing.
- Differential Geometry.
- Physical Description:
- 1 online resource (465 pages)
- Edition:
- 1st ed. 2026.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2026.
- Summary:
- This book offers a fresh 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. It presents some 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 authors highlight 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 aims to offer a broadly relevant and accessible overview that enables researchers across various fields to quickly grasp the foundational ideas and explore related research directions. In addition, this book: Blends functional analytic aspects of frames in Banach and Hilbert spaces with approximation properties, dilation theory, operator-valued measure, etc. Focuses on frames for Banach spaces and the intersection of Banach space geometry, even operator space structures Presents wide applications of frames in globally popular problems in quantum information theory and applied harmonic analysis, such as phase retrieval and quantum detection.
- Contents:
- Frames in Hilbert Spaces
- Frames in Banach Spaces
- Approximation Properties
- Banach Dilation
- Nonselfadjoint Dilation and Generalized Choi-Kraus Representation
- Quantum Detection and Phase Retrieval.
- ISBN:
- 3-032-10174-3
- 9783032101747
- OCLC:
- 1573525050
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.