Can shared forms (completed) be emailed to the specific user sending the form?

We have a couple of associates that send a form that we have shared with them. When they send the link to someone, a prospect they are working with, can the responses be sent directly to them so that they know a form has been completed?

So, you basically want the person who submits the form to receive a copy of what they submitted via email? If that is correct, you simply need setup an autoresponder: https://www.jotform.com/help/26-Setting-up-an-Autoresponder-Email 

If you need to send an notification or autoresponder to specific recipients based on a selection, you can use conditions: https://www.jotform.com/help/167-How-to-Send-Email-Based-on-User-s-Answer 

Let us know if you need more help, we will be glad to assist you.