Hi Tako,
I haven't tested this with Delphix but a standard way to run a job on the first Sunday of every month using cron is to put a test in the expression like:
0 9 1-7 * *
[ $(date +\%u) = 7 ] && YourScript
Here we are saying, if the day number of the current date is 7 (a Sunday) run the YourScript and we will only run the script in the first 7 days of the month (1-7).
So we need to know what Delphix will allow us to put in the custom cron expression so I suggest you test it. Start with this:
0 9 1-7 * * [ $(date +\%u) = 7 ] &&
Hopefully Delphix just appends it's refresh script to the end of the cron expression so it will work. I'll test it myself when I get a chance but let me know how it goes.