# Difference between revisions of "Talk:Euler-Fourier formulas"

From Encyclopedia of Mathematics

m (added sig) |
Ulf Rehmann (talk | contribs) m |
||

Line 5: | Line 5: | ||

: Yes, the formulas are wrong. Yes, it duplicates. I only wonder, what is called "Euler-Fourier formulas", the formulas for the coefficients of a Fourier series ''for the trigonometric system,'' or for an arbitrary orthogonal system. | : Yes, the formulas are wrong. Yes, it duplicates. I only wonder, what is called "Euler-Fourier formulas", the formulas for the coefficients of a Fourier series ''for the trigonometric system,'' or for an arbitrary orthogonal system. | ||

: --[[User:Boris Tsirelson|Boris Tsirelson]] 07:33, 30 April 2012 (CEST) | : --[[User:Boris Tsirelson|Boris Tsirelson]] 07:33, 30 April 2012 (CEST) | ||

+ | |||

+ | :: Classically, the Euler-Fourier formulae are those for the trigonometric system. The name apparently refers to J.F. Fourier's work "Théorie analytiques de la chaleur", Paris 1822 (and earlier work of his), and to H. Lebesgue, "Leçons sur les séries trigonométriques" (Paris 1906), who pointed out that there are earlier equivalent results by Euler and others. | ||

+ | |||

+ | :: I agree to delete that content, in particular also since nothing links to that page (except for the page with same name, but the hyphen replaced by an emdash). --[[User:Ulf Rehmann|Ulf Rehmann]] 14:11, 30 April 2012 (CEST) |

## Latest revision as of 12:11, 30 April 2012

I would propose deleting the "comments" section of this article since a) it duplicates the text of Fourier series and b) unless I am being really dense, the constants multiplying the integrals for $a_n$, $b_n$ are wrong (the 2 should be removed on the denominator).

--Jjg 10:50, 30 April 2012 (CEST)

- Yes, the formulas are wrong. Yes, it duplicates. I only wonder, what is called "Euler-Fourier formulas", the formulas for the coefficients of a Fourier series
*for the trigonometric system,*or for an arbitrary orthogonal system. - --Boris Tsirelson 07:33, 30 April 2012 (CEST)

- Classically, the Euler-Fourier formulae are those for the trigonometric system. The name apparently refers to J.F. Fourier's work "Théorie analytiques de la chaleur", Paris 1822 (and earlier work of his), and to H. Lebesgue, "Leçons sur les séries trigonométriques" (Paris 1906), who pointed out that there are earlier equivalent results by Euler and others.

- I agree to delete that content, in particular also since nothing links to that page (except for the page with same name, but the hyphen replaced by an emdash). --Ulf Rehmann 14:11, 30 April 2012 (CEST)

**How to Cite This Entry:**

Euler-Fourier formulas.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Euler-Fourier_formulas&oldid=25748