99 citations · 217 across the 27 of their papers we have counts for
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Eigenvalue inequalities for mixed Steklov problems
R. Banuelos, T. Kulczycki, I. Polterovich +1
We extend some classical inequalities between the Dirichlet and Neumann eigenvalues of the Laplacian to the context of mixed Steklov--Dirichlet and Steklov--Neumann eigenvalue prob…
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…
Trace Estimates for Stable Processes
Rodrigo Banuelos, Tadeusz Kulczycki
In this paper we study the behaviour in time of the trace (the partition function) of the heat semigroup associated with symmetric stable processes in domains of $\Rd$. In particul…
Spectral gap for stable process on convex planar double symmetric domains
Bartlomiej Dyda, Tadeusz Kulczycki
We study the semigroup of the symmetric -stable process in bounded domains in . We obtain a variational formula for the spectral gap, i.e. the difference between two first…