Extract date from week

Hi
Looking the e-mail I remembered a question.
I saw that "select extract (week from now()::date)" will return the
week number
of current year. But, how can I convert a week to the first reference
date. Ex:
select extract(week from '20050105'::date); -- 5 Jan 2005
--Returns--
date_part |
1 |

It is the first week of year (2005), and how can I get what is the first date
references the week 1? Ex:
select ???? week 1
--should return---
date |
20050103 | -- 3 Jan 2005

Thank you.
Lucas Vendramin