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The non-Archimedean Laplace transform. (English) Zbl 0845.46047
Summary: Topological properties of the spaces of analytic test functions and distributions are investigated in the framework of the general theory of non-archimedean locally convex spaces. The Laplace transform, topological isomorphism, is introduced and applied to the differential equations of non-archimedean mathematical physics (Klein-Gordon and Dirac propagators).

##### MSC:
 46S10 Functional analysis over fields other than $$\mathbb{R}$$ or $$\mathbb{C}$$ or the quaternions; non-Archimedean functional analysis 46F12 Integral transforms in distribution spaces 44A10 Laplace transform 46F05 Topological linear spaces of test functions, distributions and ultradistributions
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