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A generalization of the construction of a field of quotients with applications in analysis. (English) Zbl 1063.44005

Summary: We present a generalization of the algebraic construction of Boehmians whose specific applications include the field of quotients from an integral domain, distributions of finite order, positive Radon measures, and Boehmians.

MSC:

44A40 Calculus of Mikusiński and other operational calculi
46F05 Topological linear spaces of test functions, distributions and ultradistributions
28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
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