MANUEL GADELLA
RIGGED HILBERT SPACES: A CONTRIBUTION IN HONOR OF ARNO BOHM
Rigged Hilbert Spaces (RHS), also called Gelfand triplets, have been useful in order to give rigorous mathematical meaning to some aspects of the Dirac formulation of Quantum Mechanics that remain unexplained under the Hilbert space formulation, as Arno Bohm first realized. In this talk one refers to some aspects of the spectral decomposition of self adjoint operators under the perspective of RHS and show how RHS give a unified account of (Gelfand) continuous and discrete basis, special functions and representations of symmetry Lie algebras with continuous operators.
