I deleted video from my sony sr47 handycam, it now shows a broken icon where the video was, can I recover these?

I have had success with this file recovery program called asoftech data recovery... Download the data recovery program
http://www.asoftech.com/adr/

You have to use a card reader either on your computer or an external USB card reader. Put the card in the card reader, open the file recovery program, then select the drive where files are deleted, then press "Next" and wait for it to do it's magic.

You may need video recovery software, here are some programs you may rely on. Both programs can also recover photo and music files.

Video Recovery Software (for Windows)
Mac Video Recovery Software (for Mac OS X)

A Tip: Before your videos are recovered, do not attempt to save more files to the handycam memory card or stick in case the original files(your videos) are overwritten.

Yes you can but you will need some data recovery software

In order to recover this deleted video, you could take chances with a deleted file recovery freeware that could easily retrieve this deleted video for you:
http://blog4mark.blogspot.com/2012/12/deleted-files-recovery.html


I trust this freeware would work well on your handycam and get all your wanted files back.
Note: Never delete any important file carelessly next time and always back up everything important well.

I also suggest you use a data recovery program to recover your videos.
TryCard Data Recoverywhich will help you recover videos without casusing any data damage. It is a very professional video recovery program. My friend recommend this wonderful software to me and he had used it successfully recovered videos, photos, music, etc. from his camera. Just have a try! http://www.card-data-recovery.com/windows-data-recovery.htm