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Profile
| Academic position | Full Professor |
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| Research fields | Abstract harmonic analysis,Global analysis, analysis on manifolds |
| Keywords | spectral multipliers, Harmonic Analysis, singular integral operators, sub-Riemannian manifolds, Lie groups |
Current contact address
| Country | Italy |
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| City | Torino |
| Institution | Politecnico di Torino |
| Institute | Department of Mathematics |
| Homepage | https://sites.google.com/site/mrtnale/ |
Host during sponsorship
| Prof. Dr. Detlef Muller | Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Kiel |
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| Start of initial sponsorship | 01/02/2012 |
Programme(s)
| 2011 | Humboldt Research Fellowship Programme for Postdocs |
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Publications (partial selection)
| 2022 | Alessio Martini, Detlef Müller and Sebastiano Nicolussi Golo: Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type. In: Journal of the European Mathematical Society, online first, 2022, |
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| 2017 | Valentina Casarino, Michael G. Cowling, A. Martini, A. Sikora: Spectral multipliers for the Kohn Laplacian on forms on the sphere in C^n. In: Journal of Geometric Analysis, 2017, 3302-3338 |
| 2016 | Alessio Martini, Detlef Müller: Spectral multipliers on 2-step groups: topological versus homogeneous dimension. In: Geometric and Functional Analysis, 2016, 680-702 |
| 2015 | Alessio Martini: Spectral multipliers on Heisenberg-Reiter and related groups. In: Annali di Matematica Pura ed Applicata, 2015, 1135-1155 |
| 2014 | Alessio Martini, Detlef Müller: A sharp multiplier theorem for Grushin operators in arbitrary dimensions. In: Revista Matemática Iberoamericana, 2014, 1265-1280 |
| 2014 | Alessio Martini, Detlef Müller: Spectral multiplier theorems of Euclidean type on new classes of 2-step stratified groups. In: Proceedings of the London Mathematical Society, 2014, 1229-1263 |
| 2013 | Alessio Martini, Detlef Müller: L^p spectral multipliers on the free group N_{3,2}. In: Studia Mathematica, 2013, 41-55 |
| 2012 | Alessio Martini, Adam Sikora: Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators. In: Mathematical Research Letters, 2012, 1075-1088 |