Research
Interests

Over the years (i.e., from 1970 on) I have been working and publishing
in the following fields of specialization:
- Relativistic quantum field theory in the sense of Gårding - Wightman, mainly structural properties of states and fields;
- Schrödinger operators with singular potentials;
- Calculus of variations, mainly minimization for nonconvex and nonquasiconvex problems;
- Application of variational methods to the solution of generic classes of nonlinear partial differential equations;
- Relativistic quantum field theory in terms of Fourier hyperfunctions, mainly functional characterization , general properties and concrete models of such theories;
- General relativity and extensions;
- Relativistic quantum field theory with a fundamental length (i.e., quantum field theory in terms of tempered ultrahyperfunctions), mainly formulation, functional characterization, general properties and concrete models of such a theory;
- Quantum information theory, in particular structure of states and positive maps;

Current projects:

- Parametrization of (degenerate) density matrices, togehter with S. Nagamachi;
- Foundations of quantum physics - the ETH approach, together with Ph. Blanchard;