Sometimes guys just need time...other times the guys will never warm to the situation. If your baby is only 4 weeks old you have more things to worry about, put all your effort into worry about the baby rather than him and just see what happens. Maybe he will come around and maybe he won't but make sure your baby is not missing out on time with her mom because her mom is trying to get her dad to spend time with her.
If it helps set up a specific day a week where the dad can come over and spend time with the baby. That way he might make the extra effort to be there for the baby. On days that it is not his time, use your discression. If you already have plans to take your baby somewhere say, "no not today but tomorrow at 12 works for me..." or something like that!
I hope that helps, good luck with your baby!!!