the remnant of Edom

"the remaining part of Edom's territory"

all the nations that are called by my name

Here "name" represents Yahweh. The idiom "called by my name" means they once belonged to Yahweh. This means that in the past the people had conquered and taken control of these territories. AT: "all the nations that once belonged to me" or "all the nations that I caused the people of Israel to conquer in the past" (See: rc://en/ta/man/translate/figs-metonymy and rc://en/ta/man/translate/figs-idiom and rc://en/ta/man/translate/figs-explicit)