Fourier Series and Integrals 1. Fourier coefficients and series 2. Criteria for pointwise convergence 3. Fourier series of continuous functions 4. Chapter 2.
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Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. Fourier analysis encompasses a variety of perspectives and techniques. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewood maximal function and the Hilbert transform.
The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewood maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 8 discusses Littlewood-Paley theory, which had developments that resulted in a number of applications.
This volume has been updated and translated from the Spanish edition that was published in It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis. This is a great introductory book to Fourier analysis on Euclidean spaces and can serve as a textbook in an introductory graduate course on the subject … The chapters on the Hardy-Littlewood maximal function and the Hilbert transform are extremely well written … this is a great book and is highly recommended as an introductory textbook to Fourier analysis.
The students will have a lot to benefit from in the simple and quick presentation of the book. Know that ebook versions of most of our titles are still available and may be downloaded immediately after purchase. AMS Homepage. Join our email list. Sign up. Ordering on the AMS Bookstore is limited to individuals for personal use only. Fourier Analysis Share this page. Advanced search. Author s Product display : Javier Duoandikoetxea. Abstract: Fourier analysis encompasses a variety of perspectives and techniques.
Volume: Publication Month and Year: Copyright Year: Page Count: Cover Type: Hardcover. Print ISBN Online ISBN Print ISSN: Online ISSN: Primary MSC: Applied Math? MAA Book? Electronic Media? Apparel or Gift: false. Online Price 1 Label: List. Online Price 1: Print Price 1 Label: List. Print Price 1: Online Price 2: Print Price 2: Online Price 3: Print Price 3: Dual Price 1 Label: List.
Dual Price 1: Dual Price 2: Print Available to Order: true. Readership: Graduate students and research mathematicians interested in Fourier analysis. Reviews: This is a great introductory book to Fourier analysis on Euclidean spaces and can serve as a textbook in an introductory graduate course on the subject … The chapters on the Hardy-Littlewood maximal function and the Hilbert transform are extremely well written … this is a great book and is highly recommended as an introductory textbook to Fourier analysis.
Fourier Series and Integrals Chapter 1. Fourier Series and Integrals Index Index.
Duoandikoetxea - Fourier Analysis (2001)
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Fourier Analysis. Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderon and Zygmund. The text was born from a graduate course taught at the Universidad Autonoma de Madrid and incorporates lecture notes from a course taught by Jose Luis Rubio de Francia at the same university.