Just as a remark to the idea of Gandalf being the sender, let me requote something I have said earlier here:
Quote:
Originally Posted by Legate of Amon Lanc
(...) Gandalf or Galadriel would surely say, certainly at some point, "Yes, it was me who actually sent the dream", or it would be written in some of Tolkien's notes (I can imagine all these stories in UT with the behind-the-scenes stuff telling something about this). Gandalf himself was sitting at the Council when the question about the dream was brought forth. And (and that is the second point), wouldn't it be totally silly if Gandalf at that point had to say "um, yes, I actually know that dream, I have sent it myself?" Relatedly, I see no reason why Gandalf, or even less Galadriel, would send a prophetic dream to some random guy in Gondor. At least Galadriel: that would be indeed totally random, as Galadriel had nothing to do with Gondor. Gandalf would be more logical, as Faramir was his friend, but again, why then did also Boromir get the dream once? Perhaps only if Gandalf once "called the wrong number". In any case, once again, there is no indication that Gandalf knew anything about the subject before Boromir brought it up.
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(emphasised relevant parts)
Also, I believe that the talk about Olórin's "power" refers to him talking to the people and "inspiring" them, not sending them dreams (although of course such a "power" could have had different manifestations inside M-E, but still, we see Gandalf "boosting the morale" of people, talking Hobbits into going for adventures, stuff like that, but he does that by subtleties in his talking, not by sending visions).