The Fourier Series: A Historical Perspective


  • Alejandro Ortiz Fernández Pontificia Universidad Católica del Perú, Sección Matemáticas. Perú



Trigonometric Fourier, Trigonometric Series, String Vibration, Dirichlet, Lebesgue, Distributions


The ain of this paper is present a vision of an essential field of the modern analysis like it is the Fourier analysis. we focus on some historical aspects and then we explain the analytical arguments that are accessible to understand.
We think this subject is not very well know in Peru, our country, especially inthe way we address this subject. By the other hand, this text is about the classical aspects of the Fourier theory.


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Carslaw, H.S. Introduction to the theory of Fourier’s Series and Integrals. Dover. Pub. 1930.

Figueiredo, D. Análise de Fourier e Equacoes Diferenciais Parciais. Projeto Euclides. 1977.

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Horvath, J. Desarrollo del Análisis Funcional. México. 1972.

Jeffery, R.L. Trigonometric Series. Univ. of Toronto Press. 1956.

Kestelman, H. Modern Theories of Integration. Dover. Pub. 1960.

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Ortiz, A. La Matemática a Través de Clásicas Áreas. Vol. 3 PUCP. UNT. Lima Febrero. 2017.

Zygmund, A. Trigonometric Series. Cambridge. 1968.

Torchinsky, A. Real-Variable Methods in Harmonic Analysis. Acad. Press. USA. 1986.

Schwartz, L. Théorie des Distributions. Hermann. París. 1966.



How to Cite

Ortiz Fernández, A. (2018). The Fourier Series: A Historical Perspective. Selecciones Matemáticas, 5(01), 102 - 120.



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