Research
Publications:
R.B., M. Dalla Riva, P. Luzzini, P. Musolino, The Functional Analytic Approach for quasi-periodic boundary value problems for the Helmholtz equation, Adv. Differential Equations 29 (2024), no. 1/2, 27-68. (Preprint)
R.B., A note on a Capelli operator and its resonance, Extended Abstracts 2021/2022. Trends in Mathematics, vol 2 (2024). Birkhäuser.
R.B., A. Pasquale, T. Przebinda, The resonances of the Capelli operators for small split orthosymplectic dual pairs, J. Lie Theory 33 (2023), no.1, 93-132. (Preprint)
R.B., P. Ciatti, J. Green, J. Wright, Oscillating spectral multipliers on groups of Heisenberg type, Rev. Mat. Iberoam. 38 (2022), no. 5, 1529-1551. (Preprint)
R.B., A family of sharp inequalities on real spheres, Complex Var. Elliptic Equ. 67 (2022), no. 8, 2030-2042. (Preprint)
R.B., Brascamp-Lieb inequalities on Compact Homogeneous Spaces, Anal. Geom. Metr. Spaces 7 (2019), no. 1, 130–157.
R.B., V. Casarino, P. Ciatti, On the norms of quaternionic harmonic projection operators, C. R. Math. Acad. Sci. Paris 356 (2018), no. 5, 482–488.
Submitted papers:
R.B., M. Dalla Riva, B. Luczak, Continuous harmonic functions on a ball that are not in H^s for s>1/2. (Preprint)
Academic works:
Ph.D. Thesis: Geometric integral inequalities on homogeneous spaces
Other publications:
R.B., Brascamp-Lieb inequalities and heat-flow monotonicity, Seminario Dottorato 2017/18, Università degli Studi di Padova, 117-127.
Research interests:
Brascamp-Lieb and geometric type inequalities
Resonances of invariant differential operators on Lie groups and symmetric spaces
Spectral properties of differential operators in non-Euclidean settings
Harmonic analysis on symmetric spaces