How to get the left and right haar measure as

[noufalasharaf]

1. x^-2dxdy and x^-1dxdy are left haar measure and right haar measure respectively how?

 

[Stephen Tashi]

$f(x) = x^-1$ looks like a (left and right) Haar measure for the group of non-zero real numbers under multiplication since for each $k > 0, a> 0, b> 0$

$$\int_a^b \frac{1}{x} dx = \int_{ka}^{kb} \frac{1}{x} dx$$

You did not state your question clearly. Are you asking us to find a group for which the given function is a left or right Haar measure? Or have you been given some group for the functions that you mentioned and merely wish to know how to do the integration that tests whether the function is a Haar measure?