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;