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Representative
publications |
1. A.Posilicano: A Lie
Group Structure on the Space of Time-dependent Vector Fields. Monatsh.
Math. 105(1988), 287-293
2. A.Giorgilli, A.Posilicano: Estimates for Normal Forms of Differential
Equations near an Equilibrium Point. Z. Angew. Math. Phys. 39 (1988),
713-732
3. G.F.Dell'Antonio, A.Posilicano: Convergence of Nelson Diffusions.
Commun. Math. Phys.141 (1991), 559-576
4. A.Posilicano: Capacity Methods in the Study of Convergence of Diffusions.
Probabilistic Methods in Mathematical Physics, 374-388. World Sci.
Publishing, River Edge, NJ, U.S.A., 1992
5. A.Posilicano, S.Ugolini: Convergence of Nelson Diffusions with
Time-dependent Electromagnetic Potentials. J. Math. Phys. 34 (1993),
5028-5036
6. A.Posilicano: A Ljapunov-type Theorem for Nelson Diffusions and
Nonattainability of Nodes. Stochastic Anal. Appl. 13 (1995), 111-124
7. A.Posilicano: Convergence of Distorted Brownian Motions and Singular
Hamiltonians. Potential Anal. 5 (1996), 241-271
8. A.Posilicano: Poincare Invariant Markov Processes and Gaussian
Random Fields on the Relativistic Phase Space. Lett. Math. Phys. 42
(1997), 85-93
9. D.Noja, A.Posilicano: The Wave Equation with One Point Interaction
and the (Linearized) Classical Electrodynamics of a Point Particle.
Ann. Inst. H. Poincare Phys. Theor. 68 (1998), 351-377
10. D.Noja, A.Posilicano: On the Point Limit of the Pauli-Fierz Model.
Ann. Inst. H. Poincare Phys. Theor. 71 (1999), 425-457
11. D.Noja, A.Posilicano: Delta Interactions and Electrodynamics of
Point Particles. CMS Conf. Proc. 29 (2000), 505-516
12. M.Bertini, D.Noja, A.Posilicano: Wave Equations with Point Interactions
in Finite Energy Spaces. J. Math. Phys. 42 (2001), 2184-2202
13. A.Posilicano: A Krein-like Formula for Singular Perturbations
of Self-Adjoint Operators and Applications. J. Funct. Anal. 183 (2001),109-147
14. A.Posilicano: Boundary Conditions for Singular Perturbations of
Self-Adjoint Operators. Oper. Theory Adv. Appl. 132 (2002), 333-346
15. A.Posilicano, S.Ugolini: Scattering into Cones and
Flux across Surfaces in Quantum Mechanics: a Pathwise Probabilistic
Approach. J. Math. Phys. 43 (2002), 5386-5399
16. A.Posilicano: Self-Adjoint Extensions by
Additive Perturbations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) II
(2003), 1-20
17. A.Posilicano, S.Ugolini: Asymptotic Flux across Hypersurfaces
for Diffusion Processes. Proceedings of the International Conference
on Stochastic Analysis and Applications, 185-197, Kluwer Acad. Publ.,
Dordrecht, 2004
18. A.Posilicano: Boundary Triples and Weyl Functions for Singular
Perturbations of Self-Adjoint Operators.
Methods Funct. Anal. Topology 10 (2004), 57-63
19. A.Posilicano, T.Zhang: Convergence of Symmetric Diffusions. Acta
Math. Appl. Sin. 20(2004), 19-24
20. P.Kurasov, A.Posilicano: Locality and Finite Velocity of Propagation
for Wave Equations with Point Interactions. Proc. Am. Math. Soc. 133
(2005), 3071-3078
21. A.Posilicano: Singular Perturbations of Abstract Wave Equations.
J. Funct. Anal. 223 (2005), 259-310
22. D.Noja, A.Posilicano: Wave Equations with Concentrated Nonlinearities.
J. Phys. A 38 (2005), 5011-5022
23. M.Bertini, D.Noja, A.Posilicano: Rigorous Dynamics and Radiation
Theory for a Pauli-Fierz Model in the Ultraviolet Limit. J. Math.
Phys. 46, 102305(2005)
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