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The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the quaternions and the half space of quaternions with positive real part, as well as Blaschke products, have been intensively studied in a series of papers where they are used as a tool to prove other results in Schur analysis. This paper gives an overview on the topic, collecting the various results available.


This article was originally published in Journal of Physics: Conference Series , volume 597, in 2015. DOI: 10.1088/1742-6596/597/1/012009

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IOP Publishing

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.



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