Banach Space Aspects of Frame Theory with Applications

von Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu

270 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Synthesis Lectures on Mathematics & Statistics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783032101730
• Sprache: Englisch
• Erscheinungsdatum: 17.02.2026
• Größe: 24 x 16.8 cm
• Verlag: Springer International Publishing