Ortega García, Alejandro2025-03-312025-03-312024-01-04Ortega, A. On the Non-degeneracy of the Robin Function for the Fractional Laplacian on Symmetric Domains. Bulletin of the Iranian Mathematical Society 50, 4 (2024). https://doi.org/10.1007/s41980-023-00841-01017-060X, eISSN: 1735-8515https://doi.org/10.1007/s41980-023-00841-0https://hdl.handle.net/20.500.14468/26401Esta es la versión aceptada para su publicación en Symmetric Domains. Bulletin of the Iranian Mathematical Society 50, 4 (2024). La versión final publicada está disponible en la página web del editor: Springer, https://doi.org/10.1007/s41980-023-00841-0. This is the accepted version for publication in Symmetric Domains. Bulletin of the Iranian Mathematical Society 50, 4 (2024). The final published version is available from the publisher's website: Springer, https://doi.org/10.1007/s41980-023-00841-0.In this work we prove, under symmetry and convexity assumptions on the domain Ω, the non-degeneracy at zero of the Hessian matrix of the Robin function for the spectral fractional Laplacian. This work extends to the fractional setting the results of M. Grossi concerning the classical Laplace operator.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículo