General construction of reproducing kernels on a quaternionic Hilbert space

@inproceedings{Thirulogasanthar2017GeneralCO,
  title={General construction of reproducing kernels on a quaternionic Hilbert space},
  author={Kengatharam Thirulogasanthar and Syed Twareque Ali},
  year={2017}
}
A general theory of reproducing kernels and reproducing kernel Hilbert spaces on a right quaternionic Hilbert space is presented. Positive operator-valued measures and their connection to a class of generalized quaternionic coherent states are examined. A Naimark type extension theorem associated with the positive operator-valued measures is proved in a right quaternionic Hilbert space. As illustrative examples, real, complex and quaternionic reproducing kernels and reproducing kernel Hilbert… CONTINUE READING

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