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Download Classical and Modern Fourier Analysis epub

by Loukas Grafakos

An ideal refresher or introduction to contemporary Fourier Analysis, this book starts from the beginning and assumes no specific background. Readers gain a solid foundation in basic concepts and rigorous mathematics through detailed, user-friendly explanations and worked-out examples, acquire deeper understanding by working through a variety of exercises, and broaden their applied perspective by reading about recent developments and advances in the subject. Features over 550 exercises with hints (ranging from simple calculations to challenging problems), illustrations, and a detailed proof of the Carleson-Hunt theorem on almost everywhere convergence of Fourier series and integrals of Lp functions—one of the most difficult and celebrated theorems in Fourier Analysis. A complete Appendix contains a variety of miscellaneous formulae. Lp Spaces and Interpolation. Maximal Functions, Fourier transforms, and Distributions. Fourier Analysis on the Torus. Singular Integrals of Convolution Type. Littlewood-Paley Theory and Multipliers. Smoothness and Function Spaces. BMO and Carleson Measures. Singular Integrals of Nonconvolution Type. Weighted Inequalities. Boundedness and Convergence of Fourier Integrals. For mathematicians interested in harmonic analysis.

Download Classical and Modern Fourier Analysis epub
ISBN: 013035399X
ISBN13: 978-0130353993
Category: Science
Subcategory: Mathematics
Author: Loukas Grafakos
Language: English
Publisher: Prentice Hall (June 14, 2003)
Pages: 870 pages
ePUB size: 1415 kb
FB2 size: 1937 kb
Rating: 4.1
Votes: 824
Other Formats: docx rtf azw lit