Novel Methods in Harmonic Analysis

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. 

Summary

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. 

Product details

• Assisted by: Quoc Thong Le Gia (Editor), Quoc Thong Le Gia (Editor), Azita Mayeli (Editor), Azita Mayeli et al (Editor), Hrushikesh Mhaskar (Editor), Isaac Pesenson (Editor), Quo Thong Le Gia (Editor), Quoc Thong Le Gia (Editor), Ding-Xuan Zhou (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.07.2017
• EAN: 9783319558608
• ISBN: 978-3-31-955860-8
• No. of pages: 838
• Illustrations: VIII, 838 p. 2 volume-set.
• Series: Applied and Numerical Harmonic Analysis; Applied and Numerical Harmonic Analysis
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; B, Big Data, Datenbanken, Numerische Mathematik, Mathematics and Statistics, Computer mathematics, Numerical analysis, Abstract Harmonic Analysis, Harmonic analysis, Computational Science and Engineering, Maths for scientists, Functional analysis & transforms, Fourier Analysis, Databases