@article{64569,
  abstract     = {{<jats:title>Abstract</jats:title>
                  <jats:p>We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type  can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem. We get complete solvability for the hyperbolic plane  and partial results for products  and the hyperbolic 3‐space .</jats:p>}},
  author       = {{Olbrich, Martin and Palmirotta, Guendalina}},
  issn         = {{0025-584X}},
  journal      = {{Mathematische Nachrichten}},
  number       = {{2}},
  pages        = {{456--479}},
  publisher    = {{Wiley}},
  title        = {{{Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond}}},
  doi          = {{10.1002/mana.70100}},
  volume       = {{299}},
  year         = {{2026}},
}

@article{57580,
  abstract     = {{We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneous trees. Due to the Knapp phenomenon, the Strichartz estimates on Euclidean spaces for the fractional Laplacian exhibit loss of derivatives. A similar phenomenon appears on real hyperbolic spaces. However, such a loss disappears on homogeneous trees, due to the triviality of the estimates for small times.}},
  author       = {{Palmirotta, Guendalina and Sire, Yannick and Anker, Jean-Philippe}},
  journal      = {{Journal of Differential Equations}},
  keywords     = {{Schrödinger equation, Fractional Laplacian, Dispersive estimates, Strichartz estimates, Real hyperbolic spaces, Homogeneous trees}},
  publisher    = {{Elsevier}},
  title        = {{{The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees}}},
  doi          = {{10.1016/j.jde.2025.114065}},
  year         = {{2026}},
}

@unpublished{65232,
  abstract     = {{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. These distributions are closely related to Wigner distributions defined via a pseudo-differential calculus on graphs, which appear naturally in the study of quantum chaos. Using a pairing formula, we prove that Patterson-Sullivan distributions are also related to invariant Ruelle distributions arising from the transfer operator of the geodesic flow on the shift space. Both relationships provide discrete analogues of results for compact hyperbolic surfaces obtained by Anantharaman-Zelditch and by Guillarmou-Hilgert-Weich.}},
  author       = {{Arends, Christian and Palmirotta, Guendalina}},
  booktitle    = {{arXiv:2603.09779}},
  pages        = {{38}},
  title        = {{{Patterson-Sullivan distributions of finite regular graphs}}},
  year         = {{2026}},
}

@unpublished{58873,
  abstract     = {{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 results in the compact case by
Anantharaman-Zelditch and Hansen-Hilgert-Schr\"oder.}},
  author       = {{Delarue, Benjamin and Palmirotta, Guendalina}},
  booktitle    = {{arXiv:2411.19782}},
  title        = {{{Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}}},
  year         = {{2024}},
}

@article{64570,
  author       = {{Olbrich, Martin and Palmirotta, Guendalina}},
  issn         = {{0232-704X}},
  journal      = {{Annals of Global Analysis and Geometry}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces}}},
  doi          = {{10.1007/s10455-022-09882-w}},
  volume       = {{63}},
  year         = {{2022}},
}

@article{64571,
  abstract     = {{We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz theorems for sections.}},
  author       = {{Olbrich, Martin and Palmirotta, Guendalina}},
  journal      = {{Journal of Lie theory}},
  number       = {{2}},
  pages        = {{53----384}},
  publisher    = {{Heldermann Verlag}},
  title        = {{{A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$}}},
  volume       = {{34}},
  year         = {{2022}},
}