- #1
matematikuvol
- 192
- 0
What is right definition?
[tex](f*g)(x)=\frac{1}{\sqrt{2\pi}}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]
or
[tex](f*g)(x)=\frac{1}{2\pi}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]or
[tex](f*g)(x)=\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]
this is for me huge problem. For example
[tex]f*\delta=f[/tex]
or
[tex]f*2\pi\delta=f[/tex]
or
[tex]f*\sqrt{2\pi}\delta=f[/tex]
?
?
[tex](f*g)(x)=\frac{1}{\sqrt{2\pi}}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]
or
[tex](f*g)(x)=\frac{1}{2\pi}\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]or
[tex](f*g)(x)=\int^{\infty}_{-\infty}f(x-\xi)g(\xi)d\xi[/tex]
this is for me huge problem. For example
[tex]f*\delta=f[/tex]
or
[tex]f*2\pi\delta=f[/tex]
or
[tex]f*\sqrt{2\pi}\delta=f[/tex]
?
?
Last edited: