Abstract
We establish sufficient conditions for singularity of distributions of shot-noise fields with response functions of a certain form.
References
V. V. Buldygin, V. M. Mel’nyk, and V. G. Shportyuk, “On the Levy-Baxter theorems for shot-noise fields. I,”Ukr. Mat. Zh.,50, No. 11, 1463–1476 (1998).
V. V. Buldygin, V. M. Mel’nyk, and V. G. Shportyuk, “On the Levy-Baxter theorems for shot-noise fields. II,”Ukr. Mat. Zh.,51, No. 1, 12–31 (1998).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 2, pp. 251–254, February, 1999.
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Buldygin, V.V., Mel’nik, V.M. & Shportyuk, V.G. On the Levy-Baxter theorems for shot-noise fields. III. Ukr Math J 51, 281–285 (1999). https://doi.org/10.1007/BF02513480
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DOI: https://doi.org/10.1007/BF02513480