Associative Algebras of $p$-Adic Distributions

S. A. Albeverio ; A. Yu. Khrennikov ; V. M. Shelkovich

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

Résumé

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.

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