The Bessel-Clifford function associated to the Cayley-Laplace operator (Q6621349)

This paper presents a detailed exploration of the Cayley-Laplace operator, a rotationally invariant differential operator extending the classical Laplace operator to functions of wedge variables \( X_{ab} \) (minors of a matrix variable). The author locates his work in the broader context of harmonic analysis, representation theory, and the study of Grassmannians, offering a compelling generalisation of several classical results.\N\NA notable contribution of the paper is the identification of the Bessel-Clifford function as a natural analogue of the exponential function in the context of two-wedge variables. This insight is leveraged to develop a novel series expansion for the Newtonian potential and to introduce a new class of binomial polynomials linked to the Narayana numbers, enriching the combinatorial framework of the study.