2 papers
math.PR2019
Spectral theory for one-dimensional (non-symmetric) stable processes killed upon hitting the origin
Jacek Mucha
We obtain an integral formula for the distribution of the first hitting time of the origin for one-dimensional -stable processes , where . We also find a spectra…
math.AP2017
Extension technique for complete Bernstein functions of the Laplace operator
Mateusz Kwaśnicki, Jacek Mucha
We discuss representation of certain functions of the Laplace operator as Dirichlet-to-Neumann maps for appropriate elliptic operators in half-space. A classical result identif…