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  2. Fourier analysis - Wikipedia

    en.wikipedia.org/wiki/Fourier_analysis

    The subject of Fourier analysis encompasses a vast spectrum of mathematics. In the sciences and engineering, the process of decomposing a function into oscillatory components is often called Fourier analysis, while the operation of rebuilding the function from these pieces is known as Fourier synthesis.

  3. Princeton Lectures in Analysis - Wikipedia

    en.wikipedia.org/wiki/Princeton_Lectures_in_Analysis

    In spring 2001, when Stein moved on to the real analysis course, Hagelstein started the sequence anew, beginning with the Fourier analysis course. Hagelstein and his students used Stein and Shakarchi's drafts as texts, and they made suggestions to the authors as they prepared the manuscripts for publication. [ 2 ]

  4. Graduate Studies in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Graduate_Studies_in...

    141 A Course in Abstract Analysis, John B. Conway (2012, ISBN 978-0-8218-9083-7) 142 Higher Order Fourier Analysis, Terence Tao (2012, ISBN 978-0-8218-8986-2) 143 Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations, Alberto Bressan (2013, ISBN 978-0-8218-8771-4)

  5. Thomas William Körner - Wikipedia

    en.wikipedia.org/wiki/Thomas_William_Körner

    Thomas William Körner (born 17 February 1946) is a British pure mathematician and the author of three books on popular mathematics. He is titular Professor of Fourier Analysis in the University of Cambridge and a Fellow of Trinity Hall. He is the son of the philosopher Stephan Körner and of Edith Körner.

  6. Joseph Fourier - Wikipedia

    en.wikipedia.org/wiki/Joseph_Fourier

    Jean-Baptiste Joseph Fourier (/ ˈ f ʊr i eɪ,-i ər /; [1] French: [ʒɑ̃ batist ʒozɛf fuʁje]; 21 March 1768 – 16 May 1830) was a French mathematician and physicist born in Auxerre, Burgundy and best known for initiating the investigation of Fourier series, which eventually developed into Fourier analysis and harmonic analysis, and their applications to problems of heat transfer and ...

  7. List of Fourier analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_Fourier_analysis...

    Toggle Fourier analysis subsection. 1.1 Fourier series. 1.2 Fourier transforms. 1.3 Discrete Fourier transforms. 1.4 Applications of Fourier analysis. 2 Algebra and ...

  8. Harmonic analysis - Wikipedia

    en.wikipedia.org/wiki/Harmonic_analysis

    Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency.The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals.

  9. Hausdorff–Young inequality - Wikipedia

    en.wikipedia.org/wiki/Hausdorff–Young_inequality

    With these extensions, it is one of the best-known results of Fourier analysis, appearing in nearly every introductory graduate-level textbook on the subject. The nature of the Hausdorff-Young inequality can be understood with only Riemann integration and infinite series as prerequisite.

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