Papers and Preprints
A. Altavilla. Quaternionic Slice Regular Functions on Domains Without Real Points. Ph.D. Thesis, supervisor A. Perotti, University of Trento, 2014, http://eprints-phd.biblio.unitn.it/1089.
A. Altavilla. Some Properties for Quaternionic Slice-Regular Functions on Domains Without Real Points. Complex Var. Elliptic Equ. 60, No. 1, 59-77 (2015).
A.Altavilla, L.Nicolodi.OnthevolumeoftheSp(n)·Sp(1)shadowofacompactset.ComptesRendusMathematique, Volume 354, Issue 3, March 2016, Pages 307–311, ISSN 1631-073X.
A. Altavilla. On the real differential of a slice regular function. Adv. Geom. 18 (2018), no. 1, 5–26.
A. Altavilla. Twistor Interpretation of Slice Regular Functions, Journal of Geometry and Physics 123C (2018) pp. 184–208, https://doi.org/10.1016/j.geomphys.2017.09.007.
A. Altavilla, C. de Fabritiis. s-Regular Functions which Preserve a Complex Slice, Annali di Matematica Pura e Applicata, Vol. 197, N. 4, p. 1269–1294, 2018. https://doi.org/10.1007/s10231-018-0724-1.
A. Altavilla, C. de Fabritiis. ∗-Exponential of Slice Regular Functions, Proceedings of the American Mathematical Society, Vol. 147, p. 1173–1188, 2019.
A. Altavilla, E. Ballico. Twistor lines on algebraic surfaces, Ann Glob Anal Geom (2019) 55: 555. https://doi.org/10.1007/s10455-018-9640-2.
A. Altavilla, G. Sarfatti. Slice-Polynomial Functions and Twistor Geometry of Ruled Surfaces in CP3, Math. Z. (2019) 291: 1059. https://doi.org/10.1007/s00209-018-2225-8
A. Altavilla, C. Bisi. Log-Biharmonicity and a Jensen Formula in the Space of Quaternions, Annales Academiae Scientiarum Fennicae - Mathematica, 2019 (44) 2, https://doi.org/10.5186/aasfm.2019.4447.
A. Altavilla, E. Ballico, Three topological results on the twistor discriminant locus in the 4-sphere, Milan J. Math. (2019) 87: 57. https://doi.org/10.1007/s00032-019-00292-5.
A. Altavilla, E. Ballico, Algebraic surfaces with infinitely many twistor lines, B. Aust. Math. Soc. (2020) 101(1), 61-70. doi:10.1017/S0004972719000534.
A. Altavilla, C. de Fabritiis. Applications of the Sylvester operator in the space of slice semi-regular functions, Concr. Oper., (2020) 7(1), 1-12. doi: https://doi.org/10.1515/conop-2020-0001
A. Altavilla, C. de Fabritiis, Equivalence of slice semi-regular functions via Sylvester operators, Linear Algebra and its Appl., Volume 607, 2020,151-189, ISSN 0024-3795, https://doi.org/10.1016/j.laa.2020.08.009.
Altavilla, A., Arosio, L., Guerini, L. Canonical Models on Strongly Convex Domains via the Squeezing Function. J Geom Anal (2020). https://doi.org/10.1007/s12220-020-00448-5
A. Altavilla, H. De Bie, M. Wutzig, Implementing zonal harmonics with the Fueter principle, Journal of Mathematical Analysis and Applications Volume 495, Issue 2, 15 March 2021, Article number 124764. DOI: 10.1016/j.jmaa.2020.124764
Altavilla, A. Spherical Coefficients of Slice Regular Functions. Results Math 76, 178 (2021). https://doi.org/10.1007/s00025-021-01477-4
A. Altavilla, S. Mongodi, Slice Regular Functions as Covering Maps and Global ∗-Roots. J Geom Anal 32, 207 (2022). https://doi.org/10.1007/s12220-022-00945-9
A. Altavilla, E. Ballico, M. C. Brambilla, Surfaces in the Flag Threefold Containing Smooth Conics and Twistor Fibers. Mediterr. J. Math. 19, 281 (2022). https://doi.org/10.1007/s00009-022-02202-3
A. Altavilla, E. Ballico, M. C. Brambilla, S. Salamon, Twistor geometry of the Flag manifold. Math. Z. 303, 24 (2023). https://doi.org/10.1007/s00209-022-03161-x
A. Altavilla, E. Ballico, M. C. Brambilla, Twistor fibers in hypersurfaces of the flag threefold. New York Journal of Mathematics, 2023, 29, pp. 1117–1148
A. Altavilla, C. de Fabritiis, ∗-Logarithm for Slice Regular Functions, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 2, pp. 491–529, doi: 10.4171/RLM/1016
A. Altavilla, S. Mongodi, The ∗-exponential as a covering map. Accepted on Computational Methods and Function Theory. Preprint available at https://doi.org/10.48550/arXiv.2310.01137
A. Altavilla, S. Bernstein, M.L. Zimmermann, Peculiar Behaviors of Functions in q-Calculus. Submitted.
A. Altavilla, Sinestesia Matematica, Nuova Lettera Matematica, Vol. 4, Anno 2021, DOI: 10.19229/2724-0576/13042021. [Articolo divulgativo]