Oracle Analytical Functions

I'm trying to replicate the use of Oracle's 'lag' and 'over partition
by' analytical functions in my query. I have a table (all_client_times)
such as:

client_id, datetime
122, 2007-05-01 12:00:00
122, 2007-05-01 12:01:00
455, 2007-05-01 12:02:00
455, 2007-05-01 12:03:00
455, 2007-05-01 12:08:00
299, 2007-05-01 12:10:00
299, 2007-05-01 12:34:00

and I would like to create a new view that takes the first table and
calculates the time difference in minutes between each row so that the
result is something like:

client_id,datetime, previousTime, difftime
122,2007-05-01 12:01:00, 2007-05-01 12:00:00, 1
455,2007-05-01 12:03:00, 2007-05-01 12:02:00, 1
455,2007-05-01 12:08:00, 2007-05-01 12:03:00, 5
299,2007-05-01 12:34:00, 2007-05-01 12:10:00, 24

In Oracle I can achieve this with:

CREATE OR REPLACE VIEW client_time_diffs AS SELECT client_id,datetime,
LAG(datetime, 1) OVER (partition by client_id ORDER BY
client_id,datetime) AS previoustime from all_client_times;

Any idea how I could replicate this in SQL from PG. Would this be an
easy thing to do in Pl/pgSQL? If so could anyone give any directions as
to where to start?

Appreciate the help,

Willem