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SCIENTIST IN CHARGE
| RESEARCH TOPIC | Anita
Tabacco | Functional analysis | | | TEAM | SHORT DESCRIPTION |
Roberto
Camporesi
Valentina Casarino
Gabriele Grillo
Fabio Nicola
Francesco Longo
Silvia Rivetti
| The research focuses on some aspects of
functional and harmonic analysis. In particular we study integral
operators in Euclidean space, such as singular integrals, Fourier
integral operators, convolution operators with singular measures. In
the setting of symmetric spaces we study harmonic projection operators
and various questions on spaces of spinors. Other interests involve
solvability and regularity of invariant differential operators on the
Heisenberg group, analysis in phase space, several complex variables,
ultracontractivity of parabolic nonlinear equations. Finally, we are
interested in multiscale methods and time-frequency analysis with
particular attention to the characterization of function spaces,
regularity of localization operators and applications to
PDE's. | | |
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SOME RECENT PUBLICATIONS
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F.P. Andriulli, A. Tabacco, G. Vecchi,
" A multiresolution approach to the electric field integral
equation in antenna problems", Siam J. Scient. Comp. 29
(2007), 1-21.
E. Buzano, F. Nicola, "Complex powers of hypoelliptic
pseudodifferential operators", J. Funct. Anal. 245 (2007), 353-378.
M. Bonforte, G. Grillo, "Super and ultracontractive bounds for doubly
nonlinear evolution equations", Rev. Mat. Iberoamericana 22 (2006),
111-129.
R. Camporesi,"Helgason Fourier transform for homogeneous vector bundles
over compact Riemannian symmetric spaces-the
local theory", J. Funct. Anal. 220 (2005),
97-117.
V. Casarino, K.-J. Engel, G. Nickel, S. Piazzera, "Decoupling
techniques for wave equations with dynamic boundary conditions",
Discrete Contin. Dyn. Syst. 12 (2005), 761-772.
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| RESEARCH
PROJECTS | Coordination of international Research Projects Nonlinear approximation and adaptivity: breaking
complexity in numerical modelling and data representations
(IHP - 5th Framework Programme on Research, Technological Development
and Demonstration - European Commission)
Local coordinator: Anita
Tabacco, 2002-2006 HARP-
Harmonic Analysis and Related Problems
(IHP - 5th Framework
Programme on Research, Technological Development and Demonstration -
European Commission)
Local coordinator: Marco Peloso, 2002-2006
Coordination of national Research Projects Analisi Armonica, (Prin 2005-2007, MIUR)
Local coordinator: Anita Tabacco, 2000-2001 Analisi
Armonica, (Prin 2002-2004, MIUR)
Local coordinator: Anita Tabacco,
2002-2003
Analisi
Armonica, (Prin 2000-2002, MIUR)
Local coordinator: Anita Tabacco,
2005-2007
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| THESES
| Ph.D. dissertations
Donato Ciampa, "On the hypoellipticity of the Kohn-Laplacian on
CR Manifolds", 2007 (advisor M. Peloso).
Elena Cordero, "Time-frequency analysis
of localization operators and wavelets representations", 2004 (advisor
A. Tabacco).
Matteo Bonforte, "Sobolev
inequalities, nonlinear evolution equations and ultracontractivity",
2003 (advisor G. Grillo).
Undergraduate theses
Francesco
Andriulli, Multi-resolution formulation of the integral equation
analysis of antenna problems, Master of Science in Electrical
Engineering, University of Illinois at Chicago, 2003 (advisor
A. Tabacco and G. Vecchi). |
| | SCIENTIFIC EVENTS |
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"Wavelets e dintorni: principi matematici e applicazioni", Nov. 5-10
2007, Scuola Normale Superiore di Pisa (co-organizer
A. Tabacco).
"Holomorphic Function Spaces", June 2007, Torino (co-organizer
A. Tabacco).
"Torino 2006 Breaking Complexity Spring meeting", April 2006, Torino (organizer
A. Tabacco).
Bimestre INdAM "Time-frequency analysis
and related topics", May-June 2003, Torino (co-organizer
A. Tabacco).
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