Geodesic
Generalized functions on a Non-Archimedean superspace
Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1209-1238

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A theory is developed for superanalytic generalized functions on a superspace over a non-Archimedean Banach superalgebra with trivial annihilator of the odd part. A Gaussian distribution and the Volkenborn distribution are introduced on the non-Archimedean superspace. Existence and uniqueness theorems are proved for the Cauchy problem for linear differential equations with variable coefficients. The Cauchy problem for non-Archimedean superdiffusion, the Schrödinger equation, and the Schrodinger equation for supersymmetric quantum mechanics on a non-Archimedean Riemann surface are considered as applications. 
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     author = {A. Yu. Khrennikov},
     title = {Generalized functions on a {Non-Archimedean} superspace},
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     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a5/}
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A. Yu. Khrennikov. Generalized functions on a Non-Archimedean superspace. Izvestiya. Mathematics , Tome 39 (1992) no. 3, pp. 1209-1238. http://geodesic.mathdoc.fr/item/IM2_1992_39_3_a5/