Zeta functions of prehomogeneous vector spaces

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One of the purposes of this investigation was to publish results Obetained before. Two of the preprints finished just prior to this investigation have appeared. The third one is in the process of revision. During the course of finishing this work, I discovered the possibility of extending the notion of the Jordan decomposition and another purpose was to pursue this possibility. Even though I have not finished a preprint, it is progressing and I expect to have a preprint in the near future.