Gaussian Bluring (Smoothing) of Histogram

Hi all,
I have 2D histogram
hist2->Fill(x, y);
Now I want to do two things on it:
1. First I want to do a Gaussian smoothing of the histogram.
2. I want to use the smooth histogram and plot it with a weight.
hist2->Fill(x_blur, y_blur, weight);
Is there any way to do that?
Thanks in advance.

I guess you can use:

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