13 citations · 16 across the 2 of their papers we have counts for
4 papers
Orthogonal polynomials associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We introduce orthogonal polynomials as eigenfunctions of a certain self-adjoint fourth order differential operator depending on two parameters an…
Special functions associated to a certain fourth order differential equation
Joachim Hilgert, Toshiyuki Kobayashi, Gen Mano +1
We develop a theory of "special functions" associated to a certain fourth order differential operator on depending on two parameters . For int…
The Schrodinger model for the minimal representation of the indefinite orthogonal group O(p, q)
Toshiyuki Kobayashi, Gen Mano
We introduce the `Fourier transform' F_C on the isotropic cone C associated to an indefinite quadratic form of signature (n_1,n_2) on R^n (n=n_1+n_2: even). This transform is in so…
The inversion formula and holomorphic extension of the minimal representation of the conformal group
Toshiyuki Kobayashi, Gen Mano
The minimal representation of the indefinite orthogonal group is realized on the Hilbert space of square integrable functions on with respect to the me…