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cp(b l , ... , bn )) for every cP E if>. Since if> is a finite set", is an equivalence relation on [A1n with finitely many classes. By Ramsey's Theorem there is an infinite subset Ao of A such that all increasing n-tuples from Ao belong to the same'" -class. Thus, if we interpret the elements of Xo by an appropriate number of elements of A o , listed in increasing order, we get a model of T U {cp(XI, ...

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Infinite dimensional harmonic analysis IV: On the interplay between representation theory, random matrices by Kyo Nishiyama, Michael Voit, Joachim Hilgert


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