Geodesic
An analogue of the local time for a certain class of Levy processes
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 5-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a class of Levy processes that includes symmetric $\alpha$-stable processes for $\alpha \in (1,2)$. We obtain an analogue of the local time for this class of processes, study this analogue's properties and show that it can be considered as the generalization of the local time of symmetric stable process. 
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     title = {An analogue of the local time for a certain class of {Levy} processes},
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T. E. Abildaev. An analogue of the local time for a certain class of Levy processes. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a0/

[1] A. N. Borodin, I. A. Ibragimov, “Predelnye teoremy dlya funktsionalov ot sluchainykh bluzhdanii”, Tr. MIAN SSSR, 195, 1994, 2–285

[2] I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev, “Ob odnom obobschenii ponyatiya lokalnogo vremeni”, Zap. nauchn. semin. POMI, 486, 2019, 148–157

[3] I. A. Ibragimov, N. V. Smorodina, M. M. Faddeev, “Ob approksimatsii lokalnogo vremeni vinerovskogo protsessa funktsionalami ot sluchainykh bluzhdanii”, Teoriya veroyatn. i ee primen., 66 (2021), 73–93 | Zbl

[4] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1959