2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187182The dynamical algebra associated to a family of Isospectral Oscillator Hamiltonians, named {\it Distorted Heisenberg Algebra} because its dependence on a distortion parameter $W \geq 0$, has been recently studied. The connection of this algebra with the Hilbert space of entire functions of growth (1/2, 2) is analized.10 pages, Latex, 0 figures. Minor revisions and changes in the above version. A new number operator $N_w$ which dependence as a function of the Hamiltonian $H{_λ}$ has been discussed. Submitted to J. Phys. A: Math. Gen. 1996High Energy Physics - TheoryQuantum Physicstext