Fourier Analysis and Approximation of Functions is popular PDF and ePub book, written by Roald M. Trigub in 2012-11-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fourier Analysis and Approximation of Functions can be Read Online from any device for your convenience.
Fourier Analysis and Approximation of Functions Book PDF Summary
In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In 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. The 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. In 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. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice.
Detail Book of Fourier Analysis and Approximation of Functions PDF
- Author : Roald M. Trigub
- Release : 07 November 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781402028762
- Genre : Mathematics
- Total Page : 595 pages
- Language : English
- PDF File Size : 7,5 Mb
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