Abstract
We consider the Cauchy problem for linear pseudodifferential equations in superspace. The solution is constructed in the form of series. It may be regarded as a definition of a chronological exponent of a pseudodifferential operator symbol and interpreted as a functional integral in superspace.
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Ktitarev, D.V. Functional integral and the Feynman-Kac formula in superspace. Lett Math Phys 18, 325–331 (1989). https://doi.org/10.1007/BF00405264
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DOI: https://doi.org/10.1007/BF00405264