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math.SP2009★ 69 cited
Spectral properties of the Cauchy process
Tadeusz Kulczycki, Mateusz Kwaśnicki, Jacek Małecki +1
We study the spectral properties of the transition semigroup of the killed one-dimensional Cauchy process on the half-line (0,infty) and the interval (-1,1). This process is relate…
math.PR2009
Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle
Kamil Kaleta, Mateusz Kwaśnicki
We prove an uniform boundary Harnack inequality for nonnegative functions harmonic with respect to -stable process on the Sierpi{ń}ski triangle, where . Our result…