Sturm representation of the Green function for an arbitrary number of particles interacting by the oscillator law

Sturm representation of the Green function of an arbitrary number of particles interacting by the oscillator law is derived using the method of K-harmonics of many-dimensional superspherical functions and the eigenfunctions of the gene-- ral eigenvalue problem for oscillator-type potential. Sturm representat,on of the Green function of non-interacting particles follows from the results obtained when the oscillator frequency is equal to zero