2 citations · 2 across the 4 of their papers we have counts for
4 papers
On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system
Yoshihito Shimada
In this paper, we consider Bogoliubov automorphisms of CAR algebra and we give implementers as continuous linear operators on the white noise (test or generalized) functionals for…
White noise distribution theory for the Fermion system
Yoshihito Shimada
In this paper, we give the white noise calculus for the Fermion system and prove the Fock expansion. Each continuous linear operator on Fermionic white noise functionals is uniquel…
On irreducibility of the energy representation of the gauge group and the white noise distribution theory
Yoshihito Shimada
We consider the energy representation for the gauge group. The gauge group is the set of (C^{\infty})-mappings from a compact Riemannian manifold to a semi-simple compact Lie group…
On Quasifree Representations of Infinite Dimensional Symplectic Group
Taku Matsui, Yoshihito Shimada
We consider an infinite dimensional generalization of Metaplectic representations (Weil representations) for the (double covering of) symplectic group. Given quasifree states of an…