Passive imaging refers to problems where waves generated by unknown sources are
recorded and used to image the medium through which they travel. The sources are typically …

We investigate regular elliptic boundary-value problems in bounded domains and show the
Fredholm property for the related operators in an extended scale formed by inner product …

We study elliptic and parabolic boundary value problems in spaces of mixed scales with
mixed smoothness on the half-space. The aim is to solve boundary value problems with …

We characterize the local smoothness and the asymptotic growth rate of the Lévy white
noise. We do so by characterizing the weighted Besov spaces in which it is located. We …

We show that paths of solutions to parabolic stochastic differential equations have the same
regularity in time as the Wiener process (as of the current state of art). The temporal …

We give a new definition of a Lévy driven CARMA random field, defining it as a generalized
solution of a stochastic partial differential equation (SPDE). Furthermore, we give sufficient …

The sample paths of white noise are proved to be elements of certain Besov spaces with
dominating mixed smoothness. Unlike in isotropic spaces, here the regularity does not get …

It is possible to construct Lévy white noises as generalized random processes in the sense
of Gel'fand and Vilenkin, or as an independently scattered random measures introduced by …

Abstract In the article, Besov-Orlicz regularity of sample paths of stochastic processes that
are represented by multiple integrals of order n∈ ℕ is treated. We assume that the …

In this work, we compare Lévy space‐time white noises and cylindrical Lévy processes.
Lévy space‐time white noises are defined as infinitely divisible independently scattered …