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CONDITIONAL TRANSFORM WITH RESPECT TO THE GAUSSIAN PROCESS INVOLVING THE CONDITIONAL CONVOLUTION PRODUCT AND THE FIRST VARIATION

  • Received : 2013.04.16
  • Published : 2014.11.30

Abstract

In this paper, we define a conditional transform with respect to the Gaussian process, the conditional convolution product and the first variation of functionals via the Gaussian process. We then examine various relationships of the conditional transform with respect to the Gaussian process, the conditional convolution product and the first variation for functionals F in $S_{\alpha}$ [5, 8].

Acknowledgement

Supported by : Dankook University

References

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Cited by

  1. Series expansions of the transform with respect to the Gaussian process vol.26, pp.4, 2015, https://doi.org/10.1080/10652469.2014.991920
  2. Generalized conditional transform with respect to the Gaussian process on function space vol.26, pp.12, 2015, https://doi.org/10.1080/10652469.2015.1070149