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Novel Methods in Harmonic Analysis de Isaac Pesenson

Novel Methods in Harmonic Analysis: Applied and Numerical Harmonic Analysis

Editat de Isaac Pesenson, Quoc Thong Le Gia, Azita Mayeli, Hrushikesh Mhaskar, Ding-Xuan Zhou
en Limba Engleză Hardback – 30 aug 2017
Volume I:  http://www.springer.com/book/9783319555492

Volume II: http://www.springer.com/book/9783319555553 

A two volume set on novel methods in harmonic analysis, these books draw on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. 

The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. 
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Specificații

ISBN-13: 9783319558608
ISBN-10: 3319558609
Pagini: 838
Ilustrații: VIII, 838 p. 2 volume-set.
Dimensiuni: 155 x 235 mm
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Applied and Numerical Harmonic Analysis

Locul publicării:Cham, Switzerland

Textul de pe ultima copertă

A two volume set on novel methods in harmonic analysis, these books draw on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. 

The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. 

Caracteristici

Exhibits several recently discovered links between traditional harmonic analysis and modern ideas in areas such as Riemannian geometry and sheaf theory Contains both deep theoretical results and innovative applications to various fields such as medical imagine and data science Only publication of its kind extending classical harmonic analysis to manifolds, graphs, and other general structures Comprised of original research and survey papers from well-known experts