### Abstract

In this paper we will construct an operator-valued distribution that will extend Feynman's operational calculus in the setting of Jefferies and Johnson, 2001-2003, and Johnson-Lapidus-Nielsen, 2014, from the disentangling of holomorphic functions of several variables to the disentangling of Schwartz functions on ℝ^{n}. It will be shown that the disentangled operator corresponding to a Schwartz function (i.e., the disentangling of a Schwartz function) can be realized as the limit of a sequence of operator-valued distributions of compact support in a ball of a certain radius centered at 0 ∈ 2 ℝ^{n}. In this way, we can extend the operational calculi to the Schwartz space.

Original language | English |
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Pages (from-to) | 377-398 |

Number of pages | 22 |

Journal | New York Journal of Mathematics |

Volume | 20 |

Publication status | Published - 2014 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)