Hubeau Trumpet Sonata Pdf 22 ☝

Hubeau Trumpet Sonata Pdf 22 ☝

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Hubeau Trumpet Sonata Pdf 22

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02:25. Trumpet Sonata ; HUBEAU, Jean. Hubeau, Jean Sonata for Trumpet — «Nous sommes dans le Tonnerre», Ballet pour valse Chantilly en la terre des comptes (The complete score of Hubeau’s Sonata for Trumpet (Durand / UMP); H.31: — 3rd mvt Allegro, Bars 1 -12.. HUBEAU — — — — — — — £ My Best Known Trumpet Sonata : «Nous sommes dans le Tonnerre» -. — — — — — — — — £ HUBEAU — — — — — — — — — — —

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hubeau trumpet sonata pdf
trumpet sonataQ:

Transforming into fourier series

I try to solve the following problem:

Find the Fourier series for:
$$g(x)=
\begin{cases}
1 & \text{if}\;|x|\lt 1/2\\
-1 & \text{if}\;|x|\geq 1/2
\end{cases}$$

My idea to solve it is as follows: I rewrite it as
$$f(x)=\frac{1}{2}+\frac{1}{2}\cos(2\pi x)+\frac{1}{2}\cos(4\pi x)+\dots$$
Since $f$ has a domain of $[-1/2,1/2]$, $g$ has to have a domain of $[-1,1]$, so I multiply the function $f$ by $2$ to get the same.
Is my idea correct or do I need to transform it into a trigonometric function?

A:

You’ve written the problem incorrectly. The function $g$ is not continuous, so you can’t expect a Fourier series to define it.
A better way to write the problem is
$$g(x) =
\begin{cases}
1, & x 1/2
\end{cases}
$$

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