6 papers
Residues of weighted dynamical Ihara zeta functions on finite regular graphs
Guendalina Palmirotta
A weighted dynamical version of the classical Ihara zeta function is presented on connected finite regular graphs, expressed in terms of weighted periodic orbit data…
Patterson-Sullivan distributions of finite regular graphs
Christian Arends, Guendalina Palmirotta
On finite regular graphs, we construct Patterson-Sullivan distributions associated with eigenfunctions of the discrete Laplace operator via their boundary values on the phase space…
The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
Jean-Philippe Anker, Guendalina Palmirotta, Yannick Sire
We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneo…
Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces
Benjamin Delarue, Guendalina Palmirotta
We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically identical. This generalizes resu…
Delorme's intertwining conditions for sections of homogeneous vector bundles on two and three dimensional hyperbolic spaces
Martin Olbrich, Guendalina Palmirotta
The description of the Paley-Wiener space for compactly supported smooth functions on a semi-simple Lie group involves certain intertwining conditions that are…
A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on
Martin Olbrich, Guendalina Palmirotta
We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type . We prove a c…