Classical Fourier Analysis
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfac...
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2017
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oai:112.137.131.14:VNU_123-287072020-06-24T09:02:33Z Classical Fourier Analysis Grafakos, Loukas Mathematics Statistics 515.2433 The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. 2017-04-14T04:52:20Z 2017-04-14T04:52:20Z 2009 Book 978-0-387-09431-1 http://repository.vnu.edu.vn/handle/VNU_123/28707 en 494p. application/pdf Springer |
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Vietnam National University, Hanoi |
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VNU Library & Information Center |
| country |
Vietnam |
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VNU Digital Repository |
| language |
English |
| topic |
Mathematics Statistics 515.2433 |
| spellingShingle |
Mathematics Statistics 515.2433 Grafakos, Loukas Classical Fourier Analysis |
| description |
The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. |
| format |
Book |
| author |
Grafakos, Loukas |
| author_facet |
Grafakos, Loukas |
| author_sort |
Grafakos, Loukas |
| title |
Classical Fourier Analysis |
| title_short |
Classical Fourier Analysis |
| title_full |
Classical Fourier Analysis |
| title_fullStr |
Classical Fourier Analysis |
| title_full_unstemmed |
Classical Fourier Analysis |
| title_sort |
classical fourier analysis |
| publisher |
Springer |
| publishDate |
2017 |
| url |
http://repository.vnu.edu.vn/handle/VNU_123/28707 |
| _version_ |
1680964165466849280 |