Natural <Emphasis Type="Italic">T</Emphasis>-Functions on the Cotangent Bundle of a Weil Bundle

A natural T-function on a natural bundle F is a natural operator transforming vector fields on a manifold M into functions on FM. For any Weil algebra A satisfying dim M width(A) + 1 we determine all natural T-functions on T ^* T ^A M, the cotangent bundle to a Weil bundle T ^A M.