Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis: Novel Methods in Harmonic Analysis, Volume 2 - Rilegato

Rilegato

ISBN 10: 3319555553 ISBN 13: 9783319555553

Casa editrice: Birkhauser, 2017

Riassunto

The second of a two volume set on novel methods in harmonic analysis, this book draws 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. 

Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:

• The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.
  
• Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.
  
• Applications of harmonic analysis to data science and statistics
• Boundary-value problems for PDE's  including  the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.

Su questo libro

Dalla quarta di copertina

The second of a two volume set on novel methods in harmonic analysis, this book draws 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. 

Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:

• The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.
  
• Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.
  
• Applications of harmonic analysis to data science and statistics
• Boundary-value problems for PDE's  including  the Runge Walsh theorem for the oblique derivative problem of physical geodesy.

Dettagli dell?edizione

• Editore: Birkhauser
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 3319555553
• ISBN 13: 9783319555553
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 524
• Redattore: Pesenson Isaac, Gia Quoc Thong Le, Mayeli Azita, Mhaskar Hrushikesh, Zhou Ding-Xuan
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com