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Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

By Daniel Alpay, Fabrizio Colombo, Irene Sabadini
eBook
$179.99
By Daniel Alpay, Fabrizio Colombo, Irene Sabadini
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The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.

The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis ar...

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Science & TechnologyMathematicsMathematical AnalysisMathematical Analysis - Functional Analysis