A class of infinitesimal generators of one-dimensional Markov processes

Heinz LANGER

doi:10.2969/jmsj/02820242

Heinz LANGER

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 2 Pages 242-249

DOI https://doi.org/10.2969/jmsj/02820242

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Published: 1976 Received: November 21, 1974 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) K. Sato, Lévy measures for a class of Markov semigroups in one dimension, Trans. Amer. Math. Soc., 148 (1970), 1, 211-231.
2) K. Sato, On the generators of non-negative contraction semigroups in Banach lattices, J. Math. Soc. Japan, 20 (1968), 423-436.
3) K. Yosida, Functional Analysis, Berlin, Heidelberg, New York, 1965.
4) E. Hille and R. S. Phillips, Functional analysis and semi-groups, Providence, 1957.
5) J. S. Kac and M. G. Krein, On the spectral functions of a string, 2nd appendix to the russian translation of F. V. Atkinson, Discrete and continuous boundary problems, Moscow, 1968 (Russian).
6) Je. B. Dynkin, Markov processes, Moscow, 1963 (Russian).
7) P. Mandl, Analytical treatment of one-dimensional Markov processes, Prag and Berlin, Heidelberg, New York, 1968.

Right : [1] K. Sato, Lévy measures for a class of Markov semigroups in one dimension, Trans. Amer. Math. Soc., 148 (1970), 1, 211-231.
[2] K. Sato, On the generators of non-negative contraction semigroups in Banach lattices, J. Math. Soc. Japan, 20 (1968), 423-436.
[3] K. Yosida, Functional Analysis, Berlin, Heidelberg, New York, 1965.
[4] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Providence, 1957.
[5] J. S. Kac and M. G. Krein, On the spectral functions of a string, 2nd appendix to the russian translation of F. V. Atkinson, Discrete and continuous boundary problems, Moscow, 1968 (Russian).
[6] Je. B. Dynkin, Markov processes, Moscow, 1963 (Russian).
[7] P. Mandl, Analytical treatment of one-dimensional Markov processes, Prag and Berlin, Heidelberg, New York, 1968.

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