Yep -- looks like a honking big spark gap transmitter.
Ok -- Left side table -- far left leg: the white cylinders are 100W+ resistors of a type made from nichrome wire wrapped around a ceramic tube. They are fitted vertically, clipped in like fuses.
The left table has two layers of six banks of either voltaic cells or leyden jars in a loop (2x12). At the right side (front) of the table are two x 6 sets of knife switches, likely to engage the upper/lower banks as needed (12 switches). The wooden box on the small shelf may be incidental, but just below it is a pair of fuses mounted in clips. I suspect they are leyden jars because the table is wired to a 6 Volt battery left of the man's foot (only 3 cells, so only 6V). The presence of the huge resistors would allow a safe way to drain the leyden jars as needed, and the battery would feed them to store some huge charge for a discharge on demand. Note how heavy the side cabling is, probably cloth/knit insulation as was common in that day. On the ground between the two tables is a light strip showing four sockets and two bulbs, not wired in parallel or series -- they are for a particular setting. Light bulbs commonly provided a resistance source for radio units when you didn't want to transmit but the energy had to go somewhere, so they may be serving as a tuning dummy load.
Note the horizontal tube above the man's right wrist -- the slide bar and knob above the tube suggest this is an inductance tuner, made by a wire wrap around a tube with a sliding pickup to vary the number of coil turns in the circuit. This sort of this in common in making an old style crystal radio, and is used to tune the desired frequency.
In the big box the man is touching are the tops of four very large radio tubes (valves in the day), and the two squarish things sticking up on the left side might be the ends of some capacitance plate tuners. The decorated box at the back right of chest -- no idea.
What I'm not seeing is a telegraph key or bug, though the white object just above his right elbow might be the side or end of a bug-type key facing away from the camera.
Not sure what the other objects at the far end of the table are.