On spectral measures of strings and excursions of quasi-diffusions
Küchler, Uwe ; Salminen, Paavo
Séminaire de probabilités de Strasbourg, Tome 23 (1989), p. 490-502 / Harvested from Numdam
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@article{SPS_1989__23__490_0,
     author = {K\"uchler, Uwe and Salminen, Paavo},
     title = {On spectral measures of strings and excursions of quasi-diffusions},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {23},
     year = {1989},
     pages = {490-502},
     mrnumber = {1022933},
     zbl = {0731.60071},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_1989__23__490_0}
}

Küchler, Uwe; Salminen, Paavo. On spectral measures of strings and excursions of quasi-diffusions. Séminaire de probabilités de Strasbourg, Tome 23 (1989) pp. 490-502. http://gdmltest.u-ga.fr/item/SPS_1989__23__490_0/

[1] Csáki, E., Földes, A., Salminen, P.: On the joint distribution of the maximum and its location for a linear diffusion. Ann. Inst. H. Poincare Vol. 23(2), 1987, p. 179-194. | Numdam | MR 891709 | Zbl 0621.60081

[2] Getoor, R.K.: Excursions of a Markov process. Ann. Prob.Vol. 7(2), 1979, p. 244-266. | MR 525052 | Zbl 0399.60069

[3] Dym, H., Mckean, H.: Gaussian Processes, Function theory and Inverse Spectral Problem. Academic Press.New York (1976). | Zbl 0327.60029

[4] Ito, K., Mckean, H.: Diffusion Processes and their Sample Paths. Springer Verlag.Berlin (1965). | Zbl 0127.09503

[5] Kac, I.S., Krein, M.G.: On the spectral functions of the string. Amer. Math. Soc. Transl. II Ser. 103, 1974, p. 19-102. | Zbl 0291.34017

[6] Kac, I.S., Krein, M.G.: R-functions - analytic functions mapping the upper half plane into itself. Amer. Mat. Soc. Transl.II Ser. 103, 1974, p. 1-18. | Zbl 0291.34016

[7] Kent, J.T.: Eigenvalue expansions for diffusion hitting times. Z. Wahrscheinlichkeitstheorie verw. Gebiete 52, 1980, p. 309-319. | MR 576891 | Zbl 0415.60071

[8] Kent, J.T.: The spectral decomposition of a diffusion hitting time. Ann. Prob. 10, 1982, p. 207-219. | MR 637387 | Zbl 0483.60075

[9] Knight, F.B.: Characterization of the Levy measures of inverse local times of gap diffusion. In Seminar on Stochastic Processes, 1981, ed. Cinlar, E., Chung, K.L., Getoor, R.K Progress in Probability and Statistics, Birkhäuser, Boston (1981). | MR 647781 | Zbl 0518.60083

[10] Kotani, S., Watanabe, S.: Krein's spectral theory of strings and generalized diffusion processes. In Functional Analysis in Markov Processes, ed. Fukushima, M. Lect. notes in math., 923, Springer Verlag, Berlin (1981). | MR 661628 | Zbl 0496.60080

[11] Küchler, U.: On sojourn times, excursions and spectral measures connected with quasi diffusions. J. Math. Kyoto Univ., 26(3), 1986, p. 403-421. | MR 857226 | Zbl 0625.60093

[12] Pitman, J., Yor, M.: A decomposition of Bessel bridges. Z. Wahrscheinlichkeitstheorie verw. Gebiete 59, 1982, p. 425-457. | MR 656509 | Zbl 0484.60062

[13] Salminen, P.: Brownian excursions revisited. In Seminar on Stochastic Processes, 1983, ed Cinlar, E., Chung, K.L., Getoor, R.K Progress in Probability and Statistics 7, Birkhäuser, Boston (1984) | MR 902418 | Zbl 0557.60067

[14] Williams, D.: Diffusions, Markov Processes and Martingales. Wiley and Sons, London (1979). | MR 531031 | Zbl 0402.60003