We construct a family of equivalent representations U λ (λ≳ 0) of the restricted Poincaré
group 𝒫↑+ for a massive scalar particle on spaces 𝒦λ of functions defined over''phase …

Some representations of the Poincare group by functions on phase space are studied both
for classical as well as quantum relativistic systems. The classical representations are …

The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …

In a previous work (1)(referred to as I in the sequel) a model was proposed which unifies QM
and GR by endowing the phase space of a one-particle system with a curvature, which …

We continue the analysis of relativistic phase space, identified with the quotient of the
Poincaré group in 1+ 1 dimensions by the time translation subgroup. Proceeding by …

This paper concerns the generalized Segal-Bargmann transform for compact Lie groups,
which I introduced in H1]. Firstly, I wish to describe the history of this transform and some …

Yo=(A2+ y2) 1! 2l, 1.> 0, and S is any space-or-lightlike submanifold of space-time R n+'.
The CT'S have natural symplectic structures covariant with respect to the Poincare group …

We derive recurrence relations between phase space expressions in different dimensions
by confining some of the coordinates to tori or spheres of radius R and taking the limit as …

A wide class of single-variable holomorphic representation spaces are constructed that are
associated with very general sets of coherent states defined without the use of transitively …

The positivity of the energy in relativistic quantum mechanics implies that wave functions can
be continued analytically to the forward tube T in complex spacetime. For Klein-Gordon …