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2 produkter
2 produkter
430 kr
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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.
- Nyhet
New Directions in Frame Theory and Harmonic Analysis – The Legacy of Jean-Pierre Gabardo
Inbunden, Engelska, 2026
2 317 kr
Kommande
Over the course of his distinguished career, Jean-Pierre Gabardo (1958-2024) had a substantial impact on the field of harmonic analysis and on analysis more generally, with his deep, original results in classical harmonic analysis, functional analysis, and spectral-tile duality; in diverse areas of geometric analysis; and in the newly developed area of non-commutative harmonic analysis. This volume is a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends.An introductory chapter summarizes his broad and varied mathematical work and highlights his remarkable contributions as a mathematical mentor. The articles in the book are grouped into three focus points—functional and harmonic analysis, analysis of frames and non-orthogonal expansions, and diverse areas of sampling and spectral theory—and explore Gabardo’s contributions to these areas, as well as some related and current developments.