Reduction conditions for functionals of geometric type from uniform isotropic random fields of a gamma-correlation. II (Q912479)

This paper continues the previous author's note, Ukr. Math. J. 41, No.1, 43-49 (1989); translation from Ukr. Mat. Zh. 41, No.1, 49-55 (1989; Zbl 0686.60042). In the notations of that article the author deals with the functional \[ T_ s^{(2)}=\int_{v(s)}\chi (\xi (x)<1/f(x))dx=| \{x\in v(s):\quad \xi (x)\in 1/f(x)\}|. \] Finally, it is shown that the limit distribution of chi-square like random fields is equal to the sum of multiple stochastic integrals.