Add the following to your chosen theme's template.php file - and assuming you've created an additional field in your user records called "field_profile_realname"...
function [yourthemname]_preprocess_page(&$variables) { $arg = arg(); if ($arg[0] == 'user' && is_numeric($arg[1]) && empty($arg[2])) { # we're looking at a user profile page $user_data = user_load($arg[1]); if (isset($user_data->field_profile_realname['und']['0']['value'])) { $variables['title'] = $user_data->field_profile_realname['und']['0']['value']; } } }