Dé Luain = Monday
Dé Céadaoin = Wednesday
Dé hAoine = Friday
Dé Sathairn = Saturday

Where Dé is the genetive form of "God".

Is this just a coincidence? Is there a deeper meaning of the names of the days of the week or are they just names with no other meaning?

Both (words for god and day*, Old Irish día) prob. go back to Proto-Indo-European *dyeu = to shine.

Dé is a genitive of dia = day, a genitive of time, meaning "on the day". So, Dé is still used in adverbs of time (on Sunday, etc.).

* Etymology Online says the English word "day" & German word "Tag" are not related to *dyeu. But Latin "dies" is (as well, of course, Latin "deus" = god).