Recurrence relations for radial wave functions for the N-th dimensional oscillators and hydrogenlike atoms

This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0, 1)-forms on D

The result is indeed stated there only for L 1 (R N ) functions, but it is well known that the Calder´ on-Zygmund decomposition and weak type estimates for singular integrals work

Notice also that, from this point of view, the condition of existence of rational periodic orbits is equivalent to the condition that Q is in the torsion of the group given by

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NECESSARY AND SUFFICIENT CONDITIONS FOR THE APPEARANCE OF A HETEROCLINIC CONTOUR Necessary and sufficient conditions for the continuous counterpart of (1) in the three-dimensional