A class of infinitesimal generators of one-dimensional Markov processes II. Invariant measures

H. LANGER; W. SCHENK

doi:10.2969/jmsj/03210001

H. LANGER, W. SCHENK

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1980 Volume 32 Issue 1 Pages 1-18

DOI https://doi.org/10.2969/jmsj/03210001

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Published: 1980 Received: February 23, 1978 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: TITLE Details: Wrong : A class of infinitesimal generators of one-dimensional Markov processes
Right : A class of infinitesimal generators of one-dimensional Markov processes II. Invariant measures

Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : II. Invariant measures

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) N. Dunford and J.T. Schwartz, Linear Operators, Part I: General Theory, New York, 1958.
2) I.C. Gohberg and M.G. Krein, Introduction to the theory of linear non-selfadjoint operators, Moscow, 1966, (Russian).
3) E. Hille and R.S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc., 1957.
4) H. Langer, A class of infinitesimal generators of one-dimensional Markov processes, J. Math. Soc. Japan, 28 (1976), 242-249.
5) H. Langer, Absolutstetigkeit der Übergangsfunktion einer Klasse eindimensionaler Fellerprozesse, Math. Nachr., 75 (1976), 101-112.
6) H. Langer, L. Partzsch and D. Schütze, Über verallgemeinerte gewöhnliche Differentialoperatoren mit nichtlokalen Randbedingungen und die von ihnen erzeugten Markov-Prozesse, Publ. Res. Inst. Math. Sci., 7 (1972), 659-702.
7) S. Mazur, Über die Nullstellen linearer Operationen, Studia Math., 2 (1930).

Right : [1] N. Dunford and J. T. Schwartz, Linear Operators, Part I: General Theory, New York, 1958.
[2] I. C. Gohberg and M. G. Krein, Introduction to the theory of linear non-selfadjoint operators, Moscow, 1966, (Russian).
[3] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc., 1957.
[4] H. Langer, A class of infinitesimal generators of one-dimensional Markov processes, J. Math. Soc. Japan, 28 (1976), 242-249.
[5] H. Langer, Absolutstetigkeit der Übergangsfunktion einer Klasse eindimensionaler Fellerprozesse, Math. Nachr., 75 (1976), 101-112.
[6] H. Langer, L. Partzsch and D. Schütze, Über verallgemeinerte gewöhnliche Differentialoperatoren mit nichtlokalen Randbedingungen und die von ihnen erzeugten Markov-Prozesse, Publ. Res. Inst. Math. Sci., 7 (1972), 659-702.
[7] S. Mazur, Über die Nullstellen linearer Operationen, Studia Math., 2 (1930).

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