70 research outputs found

    Hilbert Spaces from Path Integrals

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    It is shown that a Hilbert space can be constructed for a quantum system starting from a framework in which histories are fundamental. The Decoherence Functional provides the inner product on this "History Hilbert space". It is also shown that the History Hilbert space is the standard Hilbert space in the case of non-relativistic quantum mechanics.Comment: 22 pages. Minor updates to match published versio

    On the function gλg^{*}_{λ} and the heat equation

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    The Weighted Hermite Polynomials Form a Basis for <em>L</em><sup>2</sup>(ℝ)

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    Strong consistency of the kernel estimators of conditional density function

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