Harmonic Analysis in Genova, Italy

Recent publications

Preprints:

• P. Albini, E. De Vito, A. Toigo,
  Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure,
  arXiv:0807.3437
  
  
• A. Carbonaro,
  Functional calculus for some perturbations of the Ornstein-Uhlenbeck operator, 
  Math. Z. (to appear)
  
  
• A. Carbonaro, G. Mauceri, S. Meda, 
  H^1 and BMO for certain locally doubling metric measure spaces of finite measure,
  arXiv:0811.0100
  
  
• A. Carbonaro, G. Mauceri, S. Meda,
  H^1 and BMO for certain nondoubling metric measure spaces,
  Ann. Sc. Norm. Super. Pisa (to appear),  arXiv:0808.0146
  
  
• C. Carmeli, E. De Vito, A. Toigo, V. Umanità ,
  Vector valued reproducing kernel Hilbert spaces and universality,
  arXiv:0807.1659
  
  
• C. De Mol, E. De Vito, L. Rosasco,
  Elastic Net Regularization in Learning Theory,
  Journal of Complexity (2009) to appear.
  
  
• V. Del Prete,
  Frames and Oversampling Formulas for Band Limited Functions
  arXiv:0808.1412
  to appear in Annali di matematica pura e applicata
  
  
• V. Del Prete,
  Recovery of Missing Samples in Oversampling Formulas for Band Limited Functions,
  arXiv:0811.0149
  Sampling Theory in Signal and Image Processing Vol. 8 N. 2 May 2009, 161-180
  
  
• E. De Vito, S. Pereverzev, L. Rosasco,
  Adaptive Kernel Methods via the Balancing Principle
  CBCL paper #275/CSAIL Technical Report#TR-2008-062 Massachusetts Institute of Technology, Cambridge, MA, October 16, 2008 .
  
  
• G. Mauceri, S. Meda, M. Vallarino, 
  Hardy type spaces on certain noncompact manifolds and applications,
  arXiv:0812.4209
  
  
• G. Mauceri, S. Meda, M. Vallarino, 
  Estimates for functions of the Laplacian on manifolds with bounded geometry, 
  Math. Res. Letters (to appear), arXiv:0811.0104 
  
  
• G. Mauceri, L. Noselli,
  Maximal operators associated to a nonsymmetric Ornstein-Uhlenbeck semigroup,
  J. Fourier Anal. Appl. (to appear), arXiv:0901.1455.
  
  
• L. Rosasco, M. Belkin, E. De Vito,
  A Note on Perturbation Results for Learning Empirical Operators,
  CBCL paper #274/ CSAIL Technical Report #TR-2008-052 , Massachusetts Institute of Technology, Cambridge, MA, August 19, 2008.
  
  

2009

• F. Astengo, B. Di Blasio, F. Ricci,
  Gelfand pairs on the Heisenberg group and Schwartz functions,
  J. Funct. Anal. 256 (2009) 1565-1587, arXiv:0805.3809.
  
  
• A.M. Mantero and A. Zappa,
  Eigenfunctions of the Laplace Operators for a Building of type $\widetilde {G_2}$,
  Boll. U.M.I. (9) II (2009), 483-508.
  
  

2008

• F. Astengo, B. Di Blasio,
  Some properties of horocycles on Damek-Ricci spaces,
  Differential Geom. Appl. 26 (2008), 676-682.
  
  
• A. Carbonaro, G. Metafune, C. Spina,
  Parabolic Schrödinger operators,
  J. Math. Anal. Appl. 343 (2008), 965-974.
  
  
• A. Carbonaro, G. Mauceri, S. Meda,
  Spectral multipliers for Dirichlet forms,
  Proc. Edinburgh Math. Soc. 51 (2008), 581-607.
  
  
• R. Carbone, E. Sasso,
  Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup,
  Probab. Theory Related Fields 140 (2008), 505-522.
  
  
• L. Lo Gerfo, L. Rosasco, F. Odone, E. De Vito, A. Verri,
  Spectral Algorithms for Supervised Learning,
  Neural Comput. 7 (2008), 1873-1897.
  
  
• G. Mauceri, L. Noselli, 
  Riesz transforms for a non-symmetric Ornstein-Uhlenbeck semigroup.
  Semigroup Forum 77 (2008), 380-398.
  
  
• A. Ottazzi,
  A sufficient condition for nonrigidity of Carnot groups,
  Math. Z. 259 (2008), 617--629.
  
  

2007

• F. Astengo, B. Di Blasio, F. Ricci,
  Gelfand transforms of polyradial Schwartz functions on the Heisenberg group,
  J. Funct. Anal. 251 (2007), no. 2, 772--791.
  
  
• A. Caponnetto, E. De Vito,
  Optimal Rates for Regularized Least-Squares Algorithm,
  Found. Comput. Math. 7 (2007), 331-368.
  
  
• A. Carbonaro, G. Mauceri,
  A note on bounded variation and heat semigroup on Riemannian manifolds,
  Bull. Australian Math. Soc. 76 (2007),  155-161.
  
  
• G. Mauceri, S. Meda,
   BMO and H^1 for the Ornstein--Uhlenbeck operator,
  J. Funct. Anal. 252 (2007), 278-313.
  
  
• E. Sasso,
  Weak type estimates for Riesz-Laguerre transforms,
  Bull. Austral. Math. Soc. 75 (2007), 397--408.
  
  

2006

• F. Astengo, B. Di Blasio,
  The Gelfand transform of homogeneous distributions on Heisenberg-type groups,
  J. Austral. Math. Soc. 81 (2006), 297-319.
  
  
• F. Astengo, B. Di Blasio,
  Sobolev spaces and the Cayley transform,
  Proc. Amer. Math. Soc. 134 (2006), 1319-1329.
  
  
• C. Carmeli, E. De Vito, A. Toigo,
  Vector Valued Reproducing Kernel Hilbert Spaces Integrable, Functions and Mercer Theorem,
  Analysis and Applications 4 (2006), 377-408.
  
  
• E. Cordero, F. De Mari, K. Nowak, A. Tabacco,
  Reproducing groups for the metaplectic representation,
  in: Pseudo-differential operators and related topics, 227-244, Oper. Theory Adv. Appl., 164, Birkhäuser, Basel, 2006.
  
  
• E. Cordero, F. De Mari, K. Nowak, A. Tabacco,
  Analytic features of reproducing groups for the metaplectic representation,
  J. Fourier Anal. Appl. 12 (2006), 157-180.
  
  
• E. De Vito, A. Caponnetto, L. Rosasco,
  Discretization Error Analysis for Tikhonov Regularization in Learning Theory,
  Analysis and Applications 4 (2006), 81-99.
  
  
• G. Furioli, C. Melzi, A. Veneruso,
  Littlewood-Paley decompositions and Besov spaces on Lie groups of polynomial growth,
  Math. Nachr. 9-10 (2006), 1028-1040.
  
  
• G. Ólafsson, A. Pasquale,
  Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities,
  J. Funct. Anal. 239 (2006), 21 -43.
  
  

2005

• F. Astengo, B. Di Blasio,
  Geodesic inversion and Sobolev spaces on Heisenberg type groups,
  Ark. Mat. 43 (2005), 51-67.
  
  
• M. Cowling, F. De Mari, A. Korányi, H. M. Reimann,
  Contact and conformal maps in parabolic geometry. I,
  Geom. Dedicata 111 (2005), 65-86.
  
  
• W. Hebisch , G. Mauceri, S. Meda 
  Spectral multipliers for sub-Laplacians with drift on Lie groups,
  Math. Z. 251 (2005), 899 - 927
  
  
• A. Ottazzi,
  Multicontact vector fields on Hessenberg manifolds,
  J. Lie Theory 15 (2005), 357-377.
  
  
• E. Sasso,
  Maximal operators for the holomorphic Laguerre semigroup,
  Math. Scand. 97 (2005), 235-265.
  
  
• E. Sasso,
  Functional calculus for the Laguerre operator,
  Math. Z. 249 (2005), 683-711.
  
  

2004

• F. Astengo, M. Cowling, B. Di Blasio,
  The Cayley transform and uniformly bounded representations,
  J. Funct. Anal. 213 (2004), 241-269.
  
  
• G. Furioli, A. Veneruso,
  Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group,
  Studia Math. 160 (2004), 157-178
  
  
• W. Hebisch, G. Mauceri, S. Meda,
  Holomorphy of spectral multipliers of the Ornstein-Uhlenbeck operator,
  J. Funct. Anal. 210 (2004) 101-124.
  
  
• A. M. Mantero, A. Zappa,
  Remarks on harmonic functions on affine buildings.
  Random walks and geometry, Walter de Gruyter GmbH & Co. KG, Berlin, (2004), 473-485.
  
  
• G. Mauceri,
  Spectral multipliers for the Ornstein-Uhlenbeck operator,
  Boll. Unione Mat. Ital. Sez. B 7 (2004), 563-591.
  
  
• G. Mauceri, S. Meda, P. Sjögren,
  Sharp estimates for the Ornstein-Uhlenbeck operator,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. 3 (2004), 447-480.
  
  
• G. Ólafsson, A. Pasquale,
  A Paley-Wiener theorem for the $\Theta$-hypergeometric transform: the even multiplicity case,
  J Math. Pures Appl. 83 (2004), 869-927.
  
  
• G. Ólafsson, A. Pasquale,
  Paley-Wiener theorems for the $\Theta$-spherical transform: an overview,
  Acta Appl. Math. 81 (2004), 275-309.
  
  
• A. Pasquale,
  Asymptotic analysis of $\Theta$-hypergeometric functions,
  Invent. Math. 157 (2004), 71-122.
  
  
• A. Pasquale,
  The $\Theta$-spherical transform and its inversion,
  Math. Scand. 95 (2004), 265-284.
  
  
• E. Sasso,
  Spectral multipliers of Laplace transform type for the Laguerre operator,
  Bull. Austral. Math. Soc. 69 (2004), 255-266.
  
  

2003

• F. Astengo,
  An uncertainty principle on homogeneous trees,
  Proc. Amer. Math. Soc. 131 (2003), 3155-3161.
  View the electronically published article
  
  
• J. García Cuerva, G. Mauceri, S. Meda, P. Sjögren, J. L. Torrea,
  Maximal Functions for the Holomorphic Ornstein-Uhlenbeck semigroup,
  J. London Math. Soc. 67 (2003), 219-234.
  
  
• J. Hilgert, A. Pasquale, E. Vinberg,
  The dual horospherical Radon transform as a limit of spherical Radon transforms,
  in: Lie groups and symmetric spaces, Amer. Math. Soc. Transl. Ser. 2, 210, Amer. Math. Soc., Providence, RI, 2003, 135-143.
  
  
• A. M. Mantero, A. Zappa,
  Boundary behaviour of Poisson integrals on buildings of type $\tilde A ₂$,
  Forum Math. 15 (2003), 23--35.
  
  
• A. Veneruso,
  Schwartz kernels on the Heisenberg group,
  Boll. Unione Mat. Ital. Sez. B 6 (2003), 657-666.
  
  

2002

• M. Cowling, F. De Mari, A. Korányi, H. M. Reimann,
  Contact and conformal maps on Iwasawa $N$ groups.
  Harmonic analysis on complex homogeneous domains and Lie groups (Rome, 2001).
  Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 13 (2002), 219-232.
  
  
• M. Cowling, S. Giulini, S. Meda,
  Oscillatory multipliers related to the wave equation on noncompact symmetric spaces,
  J. London Math. Soc. 66 (2002), 691-709.
  
  
• F. De Mari, K. Nowak,
  Canonical subgroups of H₁\rtimes SL(2,R),
  Boll. Unione Mat. Ital. Sez. B 5 (2002), 405-430.
  
  
• F. De Mari, H. G. Feichtinger, K. Nowak,
  Uniform eigenvalue estimates for time-frequency localization operators,
  J. London Math. Soc. 65 (2002), 720-732.
  
  
• F. De Mari, K. Nowak,
  Localization type Berezin-Toeplitz operators on bounded symmetric domains,
  J. Geom. Anal. 12 (2002), 9-27.
  
  
• J. Hilgert, A. Pasquale, E. B. Vinberg,
  The dual horospherical Radon transform for polynomials,
  Mosc. Math. J. 2 (2002), 113-126, 199.
  
  
• A. M. Mantero, A. Zappa,
  Eigenfunctions of the Laplace operators for buildings of type \tilde B ₂,
  Boll. Unione Mat. Ital. Sez. B 5 (2002), 163-195.
  
  
• G. Ólafsson, A. Pasquale,
  Regularity properties of generalized Harish-Chandra expansions,
  Geometry and analysis on finite- and infinite-dimensional Lie groups, 335-348, Banach Center Publ., 55, Polish Acad. Sci., Warsaw, 2002.
  
  

2001

• F. Astengo, B. Di Blasio,
  The Schwartz space and homogeneous distributions on H-type groups,
  Monatsh. Math.132 (2001),197-214.
  
  
• F. De Mari, K. Nowak,
  Analysis of the affine transformations of the time-frequency plane,
  Bull. Austral. Math. Soc. Vol. 63 (2001), 195-218.
  
  
• J. García Cuerva, G. Mauceri, S. Meda, P. Sjögren, J. L. Torrea,
  Functional Calculus for the Ornstein-Uhlenbeck Operator,
  J. Funct. Anal. 183 (2001), 413-450
  
  
• G. Ólafsson, A. Pasquale,
  On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces,
  J. Funct. Anal. 181 (2001), 346-401.
  
  
• M. Cowling, S. Giulini, S. Meda,
  L^p -L^q estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III.
  Ann. Inst. Fourier (Grenoble) 51 (2001), 1047-1069.
  
  

2000

• F. Astengo, M. Cowling, B. Di Blasio, M. Sundari,
  Hardy's uncertainty principle on certain Lie groups,
  J. London Math. Soc. 62 (2000), 461-472.
  
  
• A. M. Mantero, A. Zappa,
  Eigenfunctions of the Laplace operators for a building of type Ã₂,
  J. Geom. Anal. 10 (2000), 339-363.
  
  
• A. Pasquale,
  A Paley-Wiener theorem for the inverse spherical transform.
  Pacific J. Math. 193 (2000), 143-176.
  
  
• A. Veneruso,
  Hörmander multipliers on the Heisenberg group,
  Monatsh. Math. 130 (2000), 231-252.
  
  
• A. Veneruso,
  Marcinkiewicz multipliers on the Heisenberg group,
  Bull. Austral. Math. Soc. 61 (2000), 53-68.
  
  

1999

• V. Del Prete,
  Estimates, decay properties, and computation of the dual function for Gabor frames,
  J. Fourier Anal. Appl. 5 (1999), 545-562.
  
  
• F. De Mari, M. Pedroni,
  Toda flows and real Hessenberg manifolds,
  J. Geom. Anal. 9 (1999), 607-625.
  
  
• G. van Dijk, A. Pasquale
  Canonical representations of Sp(1,n) associated with representations of Sp(1).
  Comm. Math. Phys. 202 (1999), 651-667.
  
  
• G. van Dijk, A. Pasquale
  Harmonic analysis on vector bundles over Sp(1,n)/Sp(1) \times Sp(n).
  Enseign. Math. 45 (1999), 219-252.
  
  
• F. Astengo, B. Di Blasio,
  A Paley-Wiener theorem on NA harmonic spaces,
  Colloq. Math. 80 (1999), 211-233.
  
  
• J. García Cuerva, G. Mauceri, P. Sjögren, J. L. Torrea,
  Spectral multipliers for the Ornstein-Uhlenbeck semigroup,
  J. Anal. Math. 78 (1999), 281-305.
  
  
• J. García Cuerva, G. Mauceri, P. Sjögren, J. L. Torrea,
  Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup,
  Potential Anal. 10 (1999), 379-407.
  
  
• A. Pasquale,
  Maximal degenerate representations of SL(n+1, H).
  J. Lie Theory 9 (1999), 369-382.