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Analisi microlocale e tempo-frequenza

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  • Description
  • Report 2013
  • Report 2014

 

This group is concerned with the research on microlocal and time-frequency analysis and with the applications to the study of partial differential equations and signal analysis.

 

ERC Research Sectors:  PE1_8 Analysis, PE1_9 Operator algebras and functional analysis, PE1_11 Partial differential equations.

 

Research areas:

1) Microlocal Analysis

Pseudodifferential and Fourier integral operators

- Projective and Toeplitz type pseudodifferential operators

- Operator algebras

- Global wave front sets

- Microlocal analysis on manifolds

- Microlocal analysis on Gevrey classes, Gelfand-Shilov spaces, spaces of ultradistributions, L^p spaces

- Structure and decay properties of resolvents of elliptic operators

- Zeta-functions and determinants of pseudodifferential operators

- Spectral analysis for pseudodifferential operators

 

2) Time-frequency analysis

- Gabor frames

- Wavelet frames

- Reproducing formulae

- Time-frequency representations

- Uncertainty principles

 

3) Partial differential equations 

- (C^\infty, Gevrey, analytic) hypoellipticity and solvability

- Decay and regularity  of solutions to nonlinear equations

- Well-posedness of the Cauchy problem for hyperbolic systems

- Propagation of singularities

- Gabor analysis of PDE

- H_\infty-calculus and maximal L_p-regularity theory

- Boundary value problems on manifolds with geometric singularities

 

 

 

 

 


Prodotti della ricerca

  • 2014

U. Battisti, S. Coriasco, E. Schrohe
Fourier Integral Operators of Boutet de Monvel Type
http://hdl.handle.net/2318/151593

U. Battisti, M. Borsero, S. Coriasco
Sharp Weyl Estimates for Tensor Products of Pseudodifferential Operators
http://hdl.handle.net/2318/151604

M. Berra
Gabor frame decomposition of evolution operators and applications
http://hdl.handle.net/2318/143236

P. Boggiatto, E. Carypis, A. Oliaro
Local uncertainty principles for the Cohen class
http://hdl.handle.net/2318/149791

M. Cappiello, P. D'Ancona, F. Nicola
On the radius of spatial analyticity for semilinear symmetric hyperbolic systems
http://hdl.handle.net/2318/142296

Marco Cappiello, Luigi Rodino, Joachim Toft
Radial symmetric elements and the Bargmann transform
http://hdl.handle.net/2318/149030

M. Cappiello, S. Pilipovic, B. Prangoski
Parametrices and hypoellipticity for pseudodifferential operators on spaces of tempered ultradistributions
http://hdl.handle.net/2318/151569

E. Carypis
Time-frequency representations in the Cohen's class and uncertainty principles
http://hdl.handle.net/2318/142417

E. Cordero, F. Nicola, L. Rodino
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions
http://hdl.handle.net/2318/143493

E. Cordero, J. Toft, P. Wahlberg
Sharp results for the Weyl product on modulation spaces
http://hdl.handle.net/2318/151504

E. Cordero, F. Nicola
On the Schrödinger equation with potential in modulation spaces
http://hdl.handle.net/2318/151522

S. Coriasco, M. Ruzhansky
Global L^p continuity of Fourier Integral Operators
http://hdl.handle.net/2318/47272

S. Coriasco, M. Murdocca
L^p(R^n)-continuity of translation invariant anisotropic pseudodifferential operators: a necessary condition
http://hdl.handle.net/2318/129968

S. Coriasco, K. Johansson, J. Toft
Global wave-front sets of intersection and union type
http://hdl.handle.net/2318/151599

S. Coriasco, J. Toft
Asymptotic expansions for Hörmander symbol classes in the calculus of pseudo-differential operators.
http://hdl.handle.net/2318/151600

S. Coriasco, K. Johansson, J. Toft
Calculus, continuity and global wave-front properties for Fourier integral operators on R^d
http://hdl.handle.net/2318/151601

S. Coriasco, R. Schulz
SG-Lagrangian submanifolds and their parametrization
http://hdl.handle.net/2318/151602

S. Coriasco, J. Toft
Calculus for Fourier Integral Operators in generalized SG classes
http://hdl.handle.net/2318/151605

G. Garello, A. Morando
L^P microlocal properties for vector weighted pseudodifferential operators with smooth symbols
http://hdl.handle.net/2318/134129

G.Garello, A. Morando
Microlocal regularity of Besov type for solutions to quasi-elliptic non linear partial differential equations
http://hdl.handle.net/2318/151263

G. Garello, A. Morando
m-microlocal elliptic pseudodifferential operators acting on L^p_loc
http://hdl.handle.net/2318/151264

L. Maniccia, E. Schrohe, J. Seiler
Determinants of Classical SG-pseudodifferential Operators
http://hdl.handle.net/2318/143877

L.Rodino, P.Wahlberg
The Gabor wave front set
http://hdl.handle.net/2318/143487

  • 2013

U.Battisti,T.Gramchev,S.Pilipovic,L.Rodino
Globally bisingular elliptic operators
http://hdl.handle.net/2318/128459

P. Boggiatto, G. De Donno, A. Oliaro
Hudson's Theorem for $\tau-$Wigner Transforms
http://hdl.handle.net/2318/132773

P. Boggiatto, E. Carypis, A. Oliaro
Windowed - Wigner representations in the Cohen class and uncertainty principles
http://hdl.handle.net/2318/98287

Iulia Martina Bulai, Bruna Chialva, Davide Duma, Ezio Venturino
Do niches help in controlling disease spread in ecoepidemic models?
http://hdl.handle.net/2318/145493

Marco Cappiello, René Schulz
Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions
http://hdl.handle.net/2318/151443

E. Cordero, A. Tabacco
Triangular subgroups of Sp(d,R) and reproducing formulae
http://hdl.handle.net/2318/128121

E. Cordero, F. Nicola, L. Rodino
Schrödinger equations in modulation spaces
http://hdl.handle.net/2318/132052

E. Cordero, A. Tabacco, P. Wahlberg
Schrödinger type propagators, pseudodifferential operators and modulation spaces
http://hdl.handle.net/2318/141881

E. Cordero, K. Gröchenig, F. Nicola, L. Rodino
Wiener Algebras of Fourier Integral Operators
http://hdl.handle.net/2318/130438

S. Coriasco, L. Maniccia
On the Spectral Asymptotics of Operators on Manifolds with Ends
http://hdl.handle.net/2318/129967

S. Coriasco, K. Johansson, J. Toft
Local wave-front sets of Banach and Fréchet types,and pseudo-differential operators
http://hdl.handle.net/2318/100146

S. Coriasco, R. Schulz
The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions
http://hdl.handle.net/2318/127348

S. Coriasco, K. Johansson, J. Toft
Global wave-front sets of Banach, Fréchet and Modulation space types, and pseudo-differential operators
http://hdl.handle.net/2318/70065

G. Garello, A. Morando
Lp microlocal properties for vector weighted pseudodifferential operators with smooth symbols
http://hdl.handle.net/2318/151610

G. Garello, A. Morando
L^p Microlocal properties for vector weighted pseuodifferential operators with smooth symbols
http://hdl.handle.net/2318/151262

J. Seiler, A. Strohmaier
On the Noncommutative Residue for Projective Pseudodifferential Operators
http://hdl.handle.net/2318/136717

 M. Fochi, G. Viola
Remarks on the conditional quadratic and the conditional d?Alembert functional equations on particular normed spaces
http://hdl.handle.net/2318/128369

 

Ultimo aggiornamento: 23/06/2015 10:17
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