Try something like this:
BASE SEARCH GOES HERE...
| eval modifier=case(date_wday == "sunday", 0, date_wday == "monday", 1, date_wday == "tuesday", 2, date_wday == "wednesday", 3, date_wday == "thursday", 4, date_wday == "friday", 5, date_wday == "saturday", 6, 1=1, 0)
| eval first_wday_date=_time - (modifier * 86400)
| eval first_wday_date=strftime(first_wday_date, "%m/%d/%y")
| table date_wday _time modifier first_wday_date
This is assuming Sunday is the first day of your week. I wasn't sure if you wanted it to be Monday. If so, just mess with the modifiers (the amount of days to subtract from the current weekday, to get you to the beginning day of the week. This also assumes, you could go back into the previous month if the beginning of the week was not in the current month.
In the image below, the table has the current day of the week, the current date, the modifier value, and the date of the first day of the week.
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