There must be a telephone number in the paperwork the airline gave you at the lost baggage desk.
Usually they will re-imburse you for the essential items, but only for a reasonable amount. They won't re-imburse you for buying expensive designer items or a whole new wardrobe for example !!. Some airlines will even give you cash up front in such situations to tide you over until the bag arrives - obviously not Delta though !!.
Call them and ask, oh and keep all the receipts.
