Wireless connection to domain? Questions....

I have a Netopia wireless dsl connected to my Dell 5012 switch running
XP2003 server. My question is if I connect a users to the domain via a lan
cable after they make connection to the server can they then come in via the
wireless port on the through the domain? These laptops will be only
accessing domain inside the office. Will they have to use the local cach
off the laptop to login? I think that because the laptop has to be logged
in before wireless connection starts. Then will the wireless connection
bring them into the domain just like another port? Any suggestions would be
greatly appreciated