Geodesic
Associative Algebras of $p$-Adic Distributions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 29-40

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A $p$-adic Colombeau–Egorov algebra of generalized functions is constructed. A set of associated homogeneous $p$-adic distributions is introduced, and an associative algebra of asymptotic distributions generated by the linear span of the set of $p$-adic associated homogeneous distributions is constructed. 
@article{TM_2004_245_a2,
     author = {S. A. Albeverio and A. Yu. Khrennikov and V. M. Shelkovich},
     title = {Associative {Algebras} of $p${-Adic} {Distributions}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {29--40},
     publisher = {mathdoc},
     volume = {245},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_245_a2/}
}
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S. A. Albeverio; A. Yu. Khrennikov; V. M. Shelkovich. Associative Algebras of $p$-Adic Distributions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of $p$-adic mathematical physics and analysis, Tome 245 (2004), pp. 29-40. http://geodesic.mathdoc.fr/item/TM_2004_245_a2/