Boundary value problems on the half line in the theory of colloids.
Agarwal, Ravi P., O'Regan, Donal (2002)
Mathematical Problems in Engineering
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Agarwal, Ravi P., O'Regan, Donal (2002)
Mathematical Problems in Engineering
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Sidney C. Port, Charles J. Stone (1971)
Annales de l'institut Fourier
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We show that associated with every i.d. (infinitely divisible) process on a locally compact, non-compact 2nd countable Abelian group is a corresponding potential theory that yields definitive results on the behavior of the process in both space and time. Our results are general, no density or other smoothness assumptions are made on the process. In this first part of two part work we have four main goals. (1) To lay the probabilistic foundation of such processes. This mainly...
Srinivasa Rao, Ch., Sachdev, P.L., Ramaswamy, Mythily (2001)
Mathematical Problems in Engineering
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Jana Feťková (1989)
Mathematica Slovaca
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Hirschhorn, M.D. (1994)
International Journal of Mathematics and Mathematical Sciences
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Sidney C. Port, Charles J. Stone (1971)
Annales de l'institut Fourier
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This second part of our two part work on i.d. process has four main goals: (1) To develop a potential operator for recurrent i.d. (infinitely divisible) processes and to use this operator to find the asymptotic behavior of the hitting distribution and Green’s function for relatively compact sets in the recurrent case. (2) To develop the appropriate notion of an equilibrium measure and Robin’s constant for Borel sets. (3) To establish the asymptotic...
Smiley, M.W., Fink, A.M. (1990)
International Journal of Mathematics and Mathematical Sciences
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Marija Skendžić (1973)
Publications de l'Institut Mathématique
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