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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 16 open journal systems 


A note on r-balayages of matrix-exponential L'evy processes

Yuan-Chung Sheu, Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan
Yu-Ting Chen, Institute of Mathematics, Academia Sinica, Taipei, Taiwan


Abstract
In this note we give semi-explicit solutions for $r$-balayages of matrix-exponential-Lévy processes. To this end, we turn to an identity for the joint Laplace transform of the first entry time and the undershoot and a semi-explicit solution of the negative Wiener-Hopf factor. Our result is closely related to the works by Mordecki in [11], Asmussen, Avram and Pistorius in [3], Chen, Lee and Sheu in [7], and many others


Full text: PDF

Pages: 165-175

Published on: April 21, 2009
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Electronic Communications in Probability. ISSN: 1083-589X