Orthogonality with Respect to the Hermite Product, KP Wave Functions, and the Bispectral Involution

Alex Kasman, Rob Milson, Michael Gekhtman

It is well known that for any wave function $\ddot{I}ˆ(x,z)$ of the KP hierarchy, there is another wave function called its ''adjoint'' such that the path integral of their product with r…