Assuming odd/even functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg98634] Assuming odd/even functions*From*: Martin Schönecker <ms_usenet at gmx.de>*Date*: Wed, 15 Apr 2009 04:57:33 -0400 (EDT)

How can we give Mathematica the information of a function being odd or even, and have it applied automatically or in a Simplify[]? Such that, if e.g. f[y] is odd, the sum f(a)+f(-a) yields zero, the integral Integrate[f[y], {y, -a, a}] vanishes? --Martin