Oracle Analytic functions - How to reuse a PARTITION BY clause?

You can use subquery factoring, also known as the with-clause:

(untested)

with t as
( select col1
       , col2
       , col3
       , col4
       , col5
       , col6
       , case col7
         when 'foo' then
           substr(col7,1,5)
         else
           col7
         end col7
    from my_table
)
select col1
     , max(col2) over (partition by col3,col4,col5,col6,col7 order by col5,col6 desc) 
     , min(col2) over (partition by col3,col4,col5,col6,col7 order by col5,col6 desc) 
  from t

Regards,
Rob.

If you are referring to the standard WINDOW clause like this:

SELECT col1,
       MAX(col2) OVER(w),
       MIN(col2) OVER(w)
FROM my_table
WINDOW w AS (PARTITION BY col3, col4, col5, col6,
                               CASE WHEN col7 LIKE 'foo'
                                    THEN SUBSTR(col7,1,5)
                                    ELSE col7
                               END
                               ORDER BY col5 ASC, col6 DESC);

then I believe the answer is no, Oracle does not support this (checked with 11gR2).