Had a transfer window in 2 months were he paid huge money for Defoe, Palacios and Keane.
Houllier never had a window
From the ever reliable wikopedia.
Spurs had secured only two points from the first eight games of the season prior to Redknapp's arrival and lay bottom of the league, but in his first two weeks in charge he took the club out of the relegation zone, winning ten out of the twelve points available with wins against Bolton Wanderers, Liverpool and Manchester City and a remarkable 4–4 draw against North London rivals Arsenal.
All done before he had a chance to invest in the team.