Recursive Construction for a Class of Radial Functions II - Superspace

Details Recursive Construction for a Class of Radial Functions II - Superspace Recursive Construction for a Class of Radial Functions II - Superspace

2000-12-28

arxiv.org/abs/math-ph/0012047v1

Physics

Mathematical Physics

27 pages, submitted to Comm. Math. Phys

Scientific paper

We extend the recursion formula for matrix Bessel functions, which we obtained previously, to superspace. It is sufficient to do this for the unitary orthosymplectic supergroup. By direct computations, we show that fairly explicit results can be obtained, at least up to dimension $8\times 8$ for the supermatrices. Since we introduce a new technique, we discuss various of its aspects in some detail.

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