
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the function \( f(x) \) whose Fourier sine transform is

$$
F(p)=
\begin{cases} 
1, & 0 < p < 1 \\
0, & 1 < p < \infty
\end{cases}
$$

Present the answer in LaTex format: \boxed{Your answer}
user