On the Levy-Baxter theorems for shot-noise fields. I
We consider shot-noise fields generated by countably additive stochastically continuous homogeneous random measures with independent values on disjoint sets. We establish necessary and sufficient conditions under which the shot-noise fields possess the Levy-Baxter property on fixed and increasing parametric sets.
English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 11, pp 1671-1685.
Citation Example: Buldygin V. V., Mel'nik V. M., Shportyuk V. G. On the Levy-Baxter theorems for shot-noise fields. I // Ukr. Mat. Zh. - 1998. - 50, № 11. - pp. 1463–1476.