Classical fourier analysis

By:

Grafakos, L

Material type: Text

TextSeries: Graduate Texts in Mathematics ; Vol. 249Publication details: New York: Springer, c2014Edition: 3rd edDescription: xvii, 638p. : ill, pbk. ; 24cmISBN:

9781493939169

Subject(s):

DDC classification:

515.2433 GRA 23rd

Summary: The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes several new Sections well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references. Also includes illustrations, glossary, bibliographic references and subject index.

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Item type	Current library	Call number	Status	Date due	Barcode
Books	Vigyanpuri Campus	515.2433 GRA (Browse shelf(Opens below))	Available		007276
Books	Vigyanpuri Campus	515.2433 GRA (Browse shelf(Opens below))	Available		007277

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The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study.

This third edition includes several new Sections well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

Also includes illustrations, glossary, bibliographic references and subject index.

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