{"product_id":"recent-applications-of-harmonic-analysis-to-function-spaces-differential-equations-and-data-science-novel-methods-in-harmonic-analysis-volume-2-9783319856933","title":"Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis, Volume 2","description":"\u003cp\u003e • Author(s): Isaac Pesenson\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThe 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. \u003cbr\u003eThe 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. \u003cbr\u003eVolume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eThe classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eRecent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eApplications of harmonic analysis to data science and statistics\u003c\/li\u003e\n\u003cli\u003eBoundary-value problems for PDE's including the Runge-Walsh theorem for the oblique derivative problem of physical geodesy.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45278186864791,"sku":"9783319856933","price":8814.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319856933.webp?v=1769290284","url":"https:\/\/atlanticbooks.com\/products\/recent-applications-of-harmonic-analysis-to-function-spaces-differential-equations-and-data-science-novel-methods-in-harmonic-analysis-volume-2-9783319856933","provider":"Atlantic Books","version":"1.0","type":"link"}