# touchstone idea – Two generalizations of Verblunsky Theorem Answer

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touchstone idea – Two generalizations of Verblunsky Theorem

I erudite from this paper about Verblunsky theorem.

My query is that: What kindly of generalizations of this theorem is availlable?

In specific I’m within the following two workable generalization:

1)Does each capricious sequence $${alpha_n} in mathbb{D}_4$$ learn a exclusive chance touchstone on $$S^3=partial mathbb{D}_4$$?Does a queternion calculse ameliorate for such a generalization?

2)For which kindly of sequence $${alpha_n} in mathbb{C}^2simeq mathbb{C}P^2 setminus mathbb{C}P^1$$ we might secure a exclusive chance touchstone on $$S^2=mathbb{C}P^1=partial mathbb{C}^2$$?

To what extent the system of consideration of isometric group of the hyperbolic disck within the above paper breathe generalized in organize to respond to every of the above two questions?

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