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Loukas Grafakos 
Modern Fourier Analysis 

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Bìa của Loukas Grafakos: Modern Fourier Analysis (PDF)
The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.Iamdelightedthat Springerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Modern Fourier Analysis, 2nd Edition. These volumes are mainly addressed to graduate students who wish to study Fourier analysis. This second volume is intended to serve as a text for a seco- semester course in the subject. It is designed to be a continuation of the rst v- ume. Chapters 1–5 in the rst volume contain Lebesgue spaces, Lorentz spaces and interpolation, maximal functions, Fourier transforms and distributions, an introd- tion to Fourier analysis on the n-torus, singular integrals of convolution type, and Littlewood–Paley theory. Armed with the knowledgeof this material, in this volume, the reader encounters more advanced topics in Fourier analysis whose development has led to important theorems. These theorems are proved in great detail and their proofs are organized to present the ow of ideas. The exercises at the end of each section enrich the material of the corresponding section and provide an opportunity to develop ad- tional intuition and deeper comprehension. The historical notes in each chapter are intended to provide an account of past research but also to suggest directions for further investigation. The auxiliary results referred to the appendix can be located in the rst volume.
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Mục lục

Smoothness and Function Spaces.- and Carleson Measures.- Singular Integrals of Nonconvolution Type.- Weighted Inequalities.- Boundedness and Convergence of Fourier Integrals.- Time Frequency Analysis and the Carleson#x2013;Hunt Theorem.
Ngôn ngữ Anh ● định dạng PDF ● Trang 507 ● ISBN 9780387094342 ● Kích thước tập tin 5.2 MB ● Nhà xuất bản Springer New York ● Thành phố NY ● Quốc gia US ● Được phát hành 2009 ● Phiên bản 2 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 2143701 ● Sao chép bảo vệ Adobe DRM
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