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Trigonometric series

Index Trigonometric series

A trigonometric series is a series of the form: It is called a Fourier series if the terms A_ and B_ have the form: where f is an integrable function. [1]

11 relations: Antoni Zygmund, Bulletin of the American Mathematical Society, Cambridge University Press, Carleson's theorem, Derived set (mathematics), Fourier series, Georg Cantor, Integral, Ordinal number, Series (mathematics), Transfinite number.

Antoni Zygmund

Antoni Zygmund (December 25, 1900 – May 30, 1992) was a Polish mathematician.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Carleson's theorem

Carleson's theorem is a fundamental result in mathematical analysis establishing the pointwise (Lebesgue) almost everywhere convergence of Fourier series of ''L''2 functions, proved by.

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Derived set (mathematics)

In mathematics, more specifically in point-set topology, the derived set of a subset S of a topological space is the set of all limit points of S. It is usually denoted by S'.

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Fourier series

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.

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Georg Cantor

Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.

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Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.

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Series (mathematics)

In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

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Transfinite number

Transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite.

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Redirects here:

Trigonometric Series, Trigonometrical Series.

References

[1] https://en.wikipedia.org/wiki/Trigonometric_series

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