61 citations · 309 across the 28 of their papers we have counts for
4 papers · 1 filter
Dispersive type estimates for Fourier integrals and applications to hyperbolic systems
Michael Ruzhansky, Jens Wirth
In this note we provide dispersive estimates for Fourier integrals with parameter-dependent phase functions in terms of geometric quantities of associated families of Fresnel surfa…
Dispersive estimates for hyperbolic systems with time-dependent coefficients
Michael Ruzhansky, Jens Wirth
This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full…
Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
Michael Ruzhansky, Ville Turunen, Jens Wirth
In this paper we give several global characterisations of the Hormander class of pseudo-differential operators on compact Lie groups. The result is applied to give criteria for the…
Diffusive wavelets on groups and homogeneous spaces
Svend Ebert, Jens Wirth
The aim of this exposition is to explain basic ideas behind the concept of diffusive wavelets on spheres in the language of representation theory of Lie groups and within the frame…