Download Ebook Classical and Modern Fourier Analysis
Download Ebook Classical and Modern Fourier Analysis
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Classical and Modern Fourier Analysis
Download Ebook Classical and Modern Fourier Analysis
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From the Back Cover
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.
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About the Author
Loukas Grafakos is a native of Athens, Greece. He earned his doctoral degree at UCLA and is currently a Professor of Mathematics at the University of Missouri. He has taught at Yale University and Washington University in St. Louis and he has also held visiting positions at the Mathematical Sciences Research Institute in Berkeley and the University of Pittsburgh. He has been named a Kemper Fellow for Excellence in Teaching and he has authored or co-authored over forty research articles in Fourier analysis. An avid traveler, he has visited over one hundred countries and has given many international lectures.
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Product details
Hardcover: 870 pages
Publisher: Prentice Hall (June 14, 2003)
Language: English
ISBN-10: 013035399X
ISBN-13: 978-0130353993
Product Dimensions:
7.2 x 1.6 x 9.2 inches
Shipping Weight: 1.6 pounds (View shipping rates and policies)
Average Customer Review:
4.0 out of 5 stars
1 customer review
Amazon Best Sellers Rank:
#2,002,723 in Books (See Top 100 in Books)
This is just to let the prospective buyer know that the book has been re-released in two volumes: Classical Fourier Analysis and Modern Fourier Analysis.
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