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Banach Space Aspects of Frame Theory with Applications | 10.56 MB
Title: Learning-Driven Data Fabrics for Sustainability
Author: Prithi Samuel · Daniel Arockiam · Balamurugan Balusamy · Liza Macasukit Gernal · Chander Prabha
Category: Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Language: English | 199 Pages | ISBN: 9783032101747
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.
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