In the audio world, a "mixer" is a linear summer.
In RF, a mixer is usually a multiplier, typically a 4-quadrant diode thing or a Gilbert cell type circuit. Or a 2-quadrant thing like a pentode. Or even a single diode. All do some flavor of multiplying.
Some mixers inherently multiply a signal by a square wave, which resembles other multiplier-type things once you lowpass filter the output. That's a "synchronous detector", which we usually do in an FPGA.
A sampler is a signal multiplier too.
These are all variations on the basic idea of multiplying two signals.