{"product_id":"9780817640231","title":"Applied and Numerical Harmonic Analysis: Mathematics and Applications","description":"\u003ch1\u003eApplied and Numerical Harmonic Analysis: Mathematics and Applications\u003c\/h1\u003e \u003ch2\u003eBenedetto, John J.; Ferreira, Paulo J.S.G.\u003c\/h2\u003e \u003cp\u003eSampling is a fundamental topic in the engineering and physical \nsciences. This new edited book focuses on recent mathematical methods \nand theoretical developments, as well as some current central \napplications of the Classical Sampling Theorem. The Classical Sampling \nTheorem, which \noriginated in the 19th century, is often associated with the names of \nShannon, Kotelnikov, and Whittaker; and one of the features of this \nbook is an English translation of the pioneering work in the 1930s by \nKotelnikov, a Russian engineer. \nFollowing a technical overview and Kotelnikov's article, the book \nincludes a wide and coherent range of mathematical ideas essential for \nmodern sampling techniques. These ideas involve wavelets and frames, \ncomplex and abstract harmonic analysis, the Fast Fourier Transform \n(FFT),and special functions and eigenfunction expansions. Some of the \napplications addressed are tomography and medical imaging. \nTopics:. Relations between wavelet theory, the uncertainty principle, \nand sampling; . Multidimensional non-uniform sampling theory and \nalgorithms;. The analysis of oscillatory behavior through sampling;. \nSampling techniques in deconvolution;. The FFT for non-uniformly \ndistributed data; \n. Filter design and sampling; \n. Sampling of noisy data for signal reconstruction;. Finite \ndimensional models for oversampled filter banks; \n. Sampling problems in MRI. \nEngineers and mathematicians working in wavelets, signal processing, \nand harmonic analysis, as well as scientists and engineers working on \napplications as varied as medical imaging and synthetic aperture \nradar, will find the book to be a modern and authoritative guide to \nsampling theory.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-02-16\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817640231\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-0143-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 419\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":45417048637580,"sku":"9780817640231","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817640231.jpg?v=1775740810","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780817640231","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}