KP wave functions in Gr^ad and their bispectral images at t2=-1/2 yield almost bi-orthogonal coefficient sequences under the Hermite product, with the same function generating norms at t1=1, t2=0.
Exceptional Hermite Polynomials and Calogero- Moser Pairs,Contemporary Mathematics(2025) Volume 822 pp
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Orthogonality with Respect to the Hermite Product, KP Wave Functions, and the Bispectral Involution
KP wave functions in Gr^ad and their bispectral images at t2=-1/2 yield almost bi-orthogonal coefficient sequences under the Hermite product, with the same function generating norms at t1=1, t2=0.