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A convolution equation and hitting probabilities of single points for processes with stationary independent increments. (English) Zbl 0201.19002


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[1] Salomon Bochner, Harmonic analysis and the theory of probability, University of California Press, Berkeley and Los Angeles, 1955. · Zbl 0068.11702
[2] Kai Lai Chung, Sur une équation de convolution, C. R. Acad. Sci. Paris 260 (1965), 4665 – 4667 (French). · Zbl 0145.15401
[3] Kai lai Chung, Sur une équation de convolution, C. R. Acad. Sci. Paris 260 (1965), 6794 – 6796 (French). · Zbl 0145.15402
[4] Nobuyuki Ikeda and Shinzo Watanabe, On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes, J. Math. Kyoto Univ. 2 (1962), 79 – 95. · Zbl 0118.13401
[5] K. Ito, Lectures on stochastic processes, 2nd ed., Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 24, Distributed for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, 1984. Notes by K. Muralidhara Rao. · Zbl 0561.60068
[6] M. Kac, Some remarks on stable processes, Publ. Inst. Statist. Univ. Paris 6 (1957), 303 – 306. · Zbl 0082.13001
[7] P. Lévy, Théorie de l’addition des variables aléatoires, 2nd ed., Gauthier-Villars, Paris, 1954. · Zbl 0056.35903
[8] H. P. McKean Jr., An integral equation arising in connection with Markov chains, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 298 – 300. · Zbl 0153.19704 · doi:10.1007/BF00531593
[9] H. P. McKean Jr., Correction to ”An integral equation arising from Markov chains”, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 11 (1968), 82. · doi:10.1007/BF00538388
[10] P.-A. Meyer, Processus à accroissements indépendants et positifs, Séminaire de Probabilités III (Univ. Strasbourg, 1967/68) Springer, Berlin, 1969, pp. 175 – 189 (French).
[11] Jacques Neveu, Une generalisation des processus à accroissements positifs independants, Abh. Math. Sem. Univ. Hamburg 25 (1961), 36 – 61 (French). · Zbl 0103.36303 · doi:10.1007/BF02992774
[12] Sidney C. Port, Hitting times and potentials for recurrent stable processes, J. Analyse Math. 20 (1967), 371 – 395. · Zbl 0157.24702 · doi:10.1007/BF02786681
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