Simple BUF634 buffer schematic?

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I'm not sure what you are looking for. Look at Figure 2 on the datasheet; that's pretty much what you've gotta do. I'd add a PP cap in parallel with each of the electrolytic caps shown - 10-100nF. I'd make the input resistor (Rs) something like 1k; I'd probably add an output series resistor of 1-10 Ohms; As mentioned, the DC offset is pretty significant; that calls for some sort of servo or output coupling cap which seems to me a significant compromise compared to wrapping an op-amp around it.

Thermal issues and appropriate heat sinking should be considered.
 
I've tried BUF634 open loop right after a rail splitter and the dc offset wasn't all that bad, around 5mV I think and the output impedance was somewhat high, so might not really need an output resistor depending on what you are driving.
 
The output resistor is to help stabilize against reactive loading. Curiously, the output impedance is not specified, but taking the slope of the upper-left graph on pg 6 of the datasheet, it appears to be <10 Ohms.

Correction: I'd make Rs more like 50 Ohms.
 
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