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Graduate Texts in Mathematics #249
Classical Fourier Analysis
The main goal of this text is to present the theoretical foundations 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 who have completed courses in real and complex analysis. 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 as well as a new chapter on Weighted Inequalities, which has been moved from GTM250, 2nd 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.
This third edition includes several new sections as well as a new chapter on Weighted Inequalities, which has been moved from GTM250, 2nd 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.
- GenresMathematicsScience
655 pages, Hardcover
First published October 1, 2008
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November 12, 2023Chapter 2.
Remark 2.2.3. The product between a Schwartz function and a polynomial, is also a Schwartz function.
Se define la transformada de Fourier inversa como \widehat{f}(-x).
Prop 2.4.1. Toda distribución temperada con soporte en un punto corresponde a derivadas de la distribución Delta de Dirac.
Aparece la transformada de Hilbert a partir de la función 1/x.
Remark 2.2.3. The product between a Schwartz function and a polynomial, is also a Schwartz function.
Se define la transformada de Fourier inversa como \widehat{f}(-x).
Prop 2.4.1. Toda distribución temperada con soporte en un punto corresponde a derivadas de la distribución Delta de Dirac.
Aparece la transformada de Hilbert a partir de la función 1/x.
Displaying 1 - 1 of 1 review