Hello I am rebuilding the power supply on my Tektronix tds460a can I use just general purpose electrolytics for the output. I already. Do I need special impedance or esr characteristics.

 

hi,
I would recommend that you use low ESR capacitors in a SMPS.

PDF
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As Eric noted, a switch-mode power supply generally requires low ESR electrolytics designed for switching power supplies to handle the high frequency ripple currents such supplies generate.
General purpose electrolytics can overheat and fail in such applications.

 

Something like these
https://www.amazon.com/gp/aw/d/B072SSJQSJ

 

IMHO simply just get as low ESR as possible affordable