Roberto Camporesi

		Address, mail...
		Dipartimento di Matematica
		Politecnico di Torino
		Corso Duca degli Abruzzi 24
		10129 Torino
		e-mail: camporesi@polito.it
		Telephone: +39-011-564-7536
		Fax: +39-011-564-7599
		Didattica
		Current research interests
		Harmonic analysis for homogeneous vector bundles on symmetric spaces.
		Harmonic analysis on Damek-Ricci spaces.
		Representation theory of semisimple Lie groups.
		Heat kernel and zeta functions on symmetric spaces.

Publications

• Research papers
  • Geodesic spheres and non radial eigenfunctions on Damek-Ricci spaces Indag. Math. 24 (2013) 313-345.
  • with B. Kr\"otz The complex crown for homogeneous harmonic spaces Trans. Amer. Math. Soc. 364 (2012) 2227-2240.
  • with A.J. Di Scala A generalization of a theorem of Mammana Colloq. Math. 122 (2011) 215-223.
  • Linear ordinary differential equations with constant coefficients. Revisiting the impulsive response method using factorization Internat. J. Math. Ed. Sci. Tech. 42, 4 (2011) 497-514.
  • Linear ordinary differential equations: Revisiting the impulsive response method using factorization Rend. Sem. Mat. Univ. Politec. Torino 68, 4 (2010) 319-335.
  • The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(p+q)/S(U(p)xU(q)) Proc. Amer. Math. Soc. 134 (2006) 2649-2659.
  • A generalization of the Cartan-Helgason theorem for Riemannian symmetric spaces of rank one Pacific Journal of Mathematics 222 (2005) 1-27.
  • The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces - the local theory Journal of Functional Analysis 220 (2005) 97-117.
  • Spherical harmonic analysis for spinors on H^n(C) Acta Appl. Math. 73 (2002) 15-38.
  • with E. Pedon The continuous spectrum of the Dirac operator on noncompact Riemannian symmetric spaces of rank one Proc. Amer. Math. Soc. 130 (2002) 507-516.
  • with E. Pedon Harmonic analysis for spinors on real hyperbolic spaces Colloq. Math. 87 (2001) 245-286.
  • Harmonic analysis for spinor fields in complex hyperbolic spaces Adv. Math. 154 (2000) 367-442.
  • The Helgason Fourier transform for homogeneous vector bundles over Riemannian symmetric spaces Pacific J. Math. 179 (1997) 263-300.
  • On the analytic continuation of the Minakshisundaram-Pleijel zeta function for compact symmetric spaces of rank one J. Math. An. Appl. 214 (1997) 524-549.
  • with F. Astengo and B. Di Blasio The Helgason Fourier transform on a class of nonsymmetric harmonic spaces Bull. Austral. Math. Soc. 55 (1997) 405-424.
  • The spherical transform for homogeneous vector bundles over Riemannian symmetric spaces J. Lie Theory 7 (1997) 29-60.
  • with A. Higuchi, On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces J. Geom. Phys. 20 (1996) 1-18.
  • with A. Higuchi, The Plancherel measure for p-forms in real hyperbolic spaces J. Geom. Phys. 15 (1994) 57-94.
  • with A. Higuchi, Spectral functions and zeta functions in hyperbolic spaces J. Math. Phys. 35 (1994) 4217-4246.
  • The spinor heat kernel in maximally symmetric spaces Comm. Math. Phys. 148 (1992) 283-308.
  • with A. Anderson, Intertwining operators for solving differential equations with applications to symmetric spaces Comm. Math. Phys. 130 (1990) 61-82.
  • Harmonic analysis and propagators on homogeneous spaces Phys. Rep. 196 (1990) 1-134.