Kasso A. Okoudjou Finite Frame Theory: A Complete Introduction to Overcompleteness 9781470420192

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Автор: Kasso A. Okoudjou
Название: Finite Frame Theory: A Complete Introduction to Overcompleteness
ISBN: 9781470420192
Издательство: Mare Nostrum (Eurospan)
Классификация:

Алгебра

Основы высшей математики и математический анализ

Прикладная математика

ISBN-10: 1470420198
Обложка/Формат: Hardback
Страницы: 252
Вес: 0.72 кг.
Дата издания: 30.07.2016
Серия: Proceedings of symposia in applied mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Applied mathematics
Подзаголовок: A complete introduction to overcompleteness
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Поставляется из: Англии
Описание: Frames are overcomplete sets of vectors that can be used to stably and faithfully decompose and reconstruct vectors in the underlying vector space. Frame theory stands at the intersection of many areas in mathematics such as functional and harmonic analysis, numerical analysis, matrix theory, numerical linear algebra, algebraic and differential geometry, probability, statistics, and convex geometry. At the same time its applications in engineering, medicine, computer science, and quantum computing are motivating new research problems in applied and pure mathematics.This volume is based on lectures delivered at the 2015 AMS Short Course ``Finite Frame Theory: A Complete Introduction to Overcompleteness, held January 8-9, 2015 in San Antonio, TX.Mostly written in a tutorial style, the seven chapters contained in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications. Carefully assembled, the volume quickly introduces the non-expert to the basic tools and techniques of frame theory. It then moves to develop many recent results in the area and presents some important applications. As such, the volume is designed for a diverse audience including researchers in applied and computational harmonic analysis, as well as engineers and graduate students.
Дополнительное описание: Calculus and mathematical analysis|Applied mathematics

Finite Frame Theory: A Complete Introduction to Overcompleteness, Kasso A. Okoudjou