Wirtinger's Calculus in general Hilbert Spaces

Details Wirtinger's Calculus in general Hilbert Spaces Wirtinger's Calculus in general Hilbert Spaces

2010-05-25

arxiv.org/abs/1005.5170v1

Computer Science

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Report completed for the department of Informatics and Telecommunications of the University of Athens

Scientific paper

The present report, has been inspired by the need of the author and its colleagues to understand the underlying theory of Wirtinger's Calculus and to further extend it to include the kernel case. The aim of the present manuscript is twofold: a) it endeavors to provide a more rigorous presentation of the related material, focusing on aspects that the author finds more insightful and b) it extends the notions of Wirtinger's calculus on general Hilbert spaces (such as Reproducing Hilbert Kernel Spaces).

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