What evidence is there for the Resurrection of Jesus? What historical evidence has been used by people who argue for truth of Jesus' Resurrection?

It’s important to distinguish between the evidence and the best explanation of that evidence. This distinction is important because in this case the evidence is relatively uncontroversial.
That's actually a very good question that people do not ask as often as they should. You are right that it is important to distinguish between evidence and the explanation of that evidence.

With historical evidence, it is also important to qualify what we mean by historical "evidence." Many people today limit this to physical evidence like archaeological records - something that can be seen, felt and measured. If this is what we mean by evidence, then the answer is that we actually have no evidence! There is no physical tangible item that proves definitively that Jesus rose from the dead according to our modern scientific standards of proof.

The only evidence that exists is the accounts of eye-witnesses - both written accounts and accounts shared orally that have passed down to us as one tradition or another, often recorded in the writings of an early Christian writer (first two hundred years).

I actually think that the question is not about how we explain the evidence, but whether we accept it as fact.

History is full of events that we have no tangible, scientific proof actually happened, but events that we do have eye-witness accounts of and, generally, we accept them as factual reports of what people saw, heard and experienced. Even modern day events are like this.

Imagine that you are out hiking in the woods with two or three friends and you stop for a break by a lake to eat lunch. As you are sitting there, getting ready to bite into your apple you brought along, a deer walks out of the forest, sees you, and runs back in.

Now, what actual proof is there that this event happened? It happened so fast that everybody was shocked by what they saw, and nobody had time to pull out their phones to record it. Besides, you are out in the woods - you should have your phones off and enjoy the world around you, anyway!

The only proof that exists is your eye-witness testimony. Either we believe that it happened, or we don't. No scientific proof, no evidence. You could march people back to the spot and look for footprints, but the weather may have washed it away. But you saw it - you know that it happened.

That's all that we have with many historical events - people's eye-witness account. Interestingly, this is normally enough for us, especially if it comes from a source that we trust.

What is most striking is that the resurrection of Jesus is attested to by at least three different people who recorded what they saw and many more who shared their experience with the resurrected Jesus orally to the community around them. This is far more "evidence" than we have for most of the history that we generally accept as "factually true!"

The problem, I believe, is not with the reliability of the testimony and the fact that the resurrection is one of the most attested to events in ancient history, but with the idea of resurrection. People start with the assumption that resurrection is not possible, so immediately the story - regardless of how many eye-witnesses there were - is assumed to be not true. This is true of any story or account that includes something we believe impossible. We reject it not because we have evidence that it didn't happen, but because we have no tangible empirical scientific proof that what you are talking about is possible - no empirical "evidence" that it did happen. None that we would accept, anyway.

I think that what you mean by explanation of evidence is just this - whether we accept it as fact or not. I'm not talking about all the details about Jesus walking through walls and eating fish, but whether or not the simple fact of his resurrection is real.

I do think, however, it is precisely the evidence itself that is controversial with this issue. Do we believe that their eye-witness evidence is fact, or do we believe that it is fiction? That all comes down to whether you believe resurrection is possible.

I believe that all things are possible with God. But there is no empirical truth for that. It must be accepted by faith.