Classical Fourier Transforms is popular PDF and ePub book, written by Komaravolu Chandrasekharan in 2012-12-06, 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, Classical Fourier Transforms can be Read Online from any device for your convenience.
Classical Fourier Transforms Book PDF Summary
This book gives a thorough introduction on classical Fourier transforms in a compact and self-contained form. Chapter I is devoted to the L1-theory: basic properties are proved as well as the Poisson summation formula, the central limit theorem and Wiener's general tauberian theorem. As an illustraiton of a Fourier transformation of a function not belonging to L1 (- , ) an integral due to Ramanujan is given. Chapter II is devoted to the L2-theory, including Plancherel's theorem, Heisenberg's inequality, the Paley-Wiener theorem, Hardy's interpolation formula and two inequalities due to Bernstein. Chapter III deals with Fourier-Stieltjes transforms. After the basic properties are explained, distribution functions, positive-definite functions and the uniqueness theorem of Offord are treated. The book is intended for undergraduate students and requires of them basic knowledge in real and complex analysis.
Detail Book of Classical Fourier Transforms PDF
- Author : Komaravolu Chandrasekharan
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642740299
- Genre : Mathematics
- Total Page : 178 pages
- Language : English
- PDF File Size : 7,7 Mb
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