If it has the original 1957 electrolytics, there's about a 100% chance that they are shot. This article has basic info about recapping:
http://antiqueradio.org/recap.htm
I took a quick peek at the schematic and it appears you have two multi-section electrolytic cans: C40 and C14.
If you have worked on tube radios before, the same basic methods apply, only TVs are more complex and have high voltage.
After you have replaced those electrolytics, then it will make sense to troubleshoot specific symptoms.
Looks like a cool TV.
Phil Nelson
http://antiqueradio.org/index.html