We interpret the global Hadamard condition for a two-point distribution of a Klein-Gordon neutral scalar quantum field model on an arbitrary globally hyperbolic curved space-time in terms of distinguished parametrices (of Duistermaat and Hörmander) and a wave front set spectrum condition. Microlocal results by Duistermaat and Hörmander such as the propagation of singularities theorem and the un...

We characterize the position value for arbitrary hypergraph communication situations. The position value is first presented by the Shapley value of the uniform hyperlink game or the k-augmented uniform hyperlink game, which are obtained from the given hypergraph communication situation. These results generalize the non-axiomatic characterization of the position value for communication situation...

At the International Congress of Mathematicians in 1958 (Edinburgh) N.N. Bogolyubov made our common report "On some Mathematical Problems of Quantum Field Theory" [ 1 ], in which particularly a problem of a rigorous prove of dispersion relations in quantum field theory was discussed and in connection with this it was pointed out the importance of the problem of analytic extension of generalized...

We establish axiomatic characterizations of K-theory and KK-theory for real C*-algebras. In particular, let F be an abelian group-valued functor on separable real C*-algebras. We prove that if F is homotopy invariant, stable, and split exact, then F factors through the category KK. Also, if F is homotopy invariant, stable, half exact, continuous, and satisfies an appropriate dimension axiom, th...