株式会社極東書店トップ ＞ 商品一覧 ＞ Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science : Novel Methods in Harmonic Analysis, Volume 2. 1st ed. 2017.
商品詳細
Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science : Novel Methods in Harmonic Analysis, Volume 2. 1st ed. 2017.
・ISBN 978-3-319-55555-3 hard
お気に入り
★★★
| 著者・編者 | Pesenson, Isaac / Le Gia, Quoc Thong / Mayeli, Azita / Mhaskar, Hrushikesh / Zhou, Ding-Xuan (eds.), |
|---|---|
| シリーズ | Applied and Numerical Harmonic Analysis |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 510 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20491＞ |
解説
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 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.