×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: EuDML