Orthogonality relation, proof

The recursion formula, the normalizing constant, and the proof for the orthogonality relation among eigenvectors are given in Appendix IV. And pi r) is given such that... 

The component of the eigenvector can be obtained by the same argument as in the previous cases i. e., the wth component of the eigenvector is proportional to, S , and is uniquely determined by the orthogonalization constant. Only the results will be given below the proof of the recursion formulas, the orthogonality relations, and the normalization constants are obtained by methods analogous to those in Appendix IV ... 

We now have the necessary background for the proof of the orthogonality relations. Taking the sets of functions X ny V --- Vn, which are the bases for the irreducible representations F and r , we have... 

Hence, the matrix X must be composed of orthogonal vectors of unit length (see Appendix I,D). Equation (MF4) tells us, however, that the rate con- Note added in proof The formulation of Jost is actually the one most closely related. 

---