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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.
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.
Format
PDF-ebook
Sprache
englisch 
Altersgruppe
02-99
Seiten
507
Dateigröße
5.2 MB
abrufbar
24 Monate
Kopierschutz
Adobe DRM
Verlag
Springer New York
Erscheinungsort
NY/US
Ausgabe
2. Auflage ()
Artikel
DG2143701

'Modern Fourier Analysis' von Loukas Grafakos ist ein digitales PDF ebook zum direkten download auf PC, Mac, Notebook, Tablet, iPad, iPhone, Smartphone, eReader - nicht aber auf Kindle. Sie benötigen eine DRM-fähige Reader-Ausstattung.

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