What is the result of Fourier transformation of functional theta function?

[jarowit]

what is the result of Fourier transformation of functional theta [Heaviside] function?

 

[Mentz114]

Is it not the case -

$$\int_{-\infty}^\infty}\theta (a)e^{ikx}dx = \int_{a}^{\infty}e^{ikx}dx$$

 

[jarowit]

what you have written is Fourier transforamtion of the "usual" theta function.
i would like to know how to transform theta function which in arguments have other function s [i.e. functional theta function].

 

[Mentz114]

True. Did you know there is a math area in the PF ? Just scroll the main page down.