New forms of the Pomeranchuk theorem

A new mathematical technique is developed and used to obtain a series of new forms of the Pomeranchuk theorem. Particular ones of these forms are expedient for use in high-energy physics, depending on the experimental situation.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 26–32, July, 1984.It remains to thank Prof. Yu. M. Lomsadze for valuable comments.