Transfer display of active windows remotely

[Prasad H.L.]

I am active user of X.org and I admire the power and features that X.org 
provides to the users. I regularly use exported display over an ssh session and operate. I commend the developers for such a wonder piece of software. However, I would like to know one thing as described below.

Consider a case where a window has been opened on the local terminal with some user id. After performing a remote login to and exporting the display to that machine using the same user id, is there any way by which the display of that opened window can be transferred to the remote exported display and vice versa? If not possible, then please consider this as a feature request.

With Regards,
Prasad H. L.

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Prasad H. L.
PhD Student (with Dr. Shalabh Bhatnagar),
Department of Computer Science and Automation,
Indian Institute of Science,
Bangalore - 560012