Fourier Analysis

Informationen zum Autor Elias M. Stein & Rami Shakarchi Klappentext This first volume, a three-part introduction to Fourier analysis, is intended for students with a beginning knowledge of mathematical analysis. The first part concersn notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. Zusammenfassung Intended for students with a beginning knowledge of mathematical analysis, this first volume, in a three-part introduction to Fourier analysis, introduces the core areas of mathematical analysis while also illustrating the organic unity between them. It includes numerous examples and applications.

Product details

• Authors: R Shakarchi, Rami Shakarchi, Shakarchi Rami, E Stein, Elias M Stein, Elias M. Stein, Stein Elias M.
• Publisher: Princeton University Press
• Languages: English
• Product format: Hardback
• Released: 09.05.2003
• EAN: 9780691113845
• ISBN: 978-0-691-11384-5
• No. of pages: 320
• Dimensions: 164 mm x 242 mm x 27 mm
• Series: Princeton Lectures in Analysis; Princeton Lectures in Analysis
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms