{"product_id":"fourier-analysis-and-approximation-of-functions-9789048166411","title":"Fourier Analysis and Approximation of Functions","description":"\u003cp\u003e • Author(s): Roald M. Trigub\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003eIn \u003cstrong\u003eFourier Analysis and Approximation of Functions\u003c\/strong\u003e basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. \u003cbr\u003eIn Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. \u003cbr\u003eThe first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and\/or numerical methods based on ideas of Approximation Theory are among them. \u003cbr\u003eIn Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. \u003cbr\u003eThe methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45284669227159,"sku":"9789048166411","price":10915.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789048166411.webp?v=1769281879","url":"https:\/\/atlanticbooks.com\/products\/fourier-analysis-and-approximation-of-functions-9789048166411","provider":"Atlantic Books","version":"1.0","type":"link"}