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Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities

Autor: Aragona, J., Catuogno, P., Colombeau, J. F., Juriaans, S. O., Olivera, C.

In a mathematical context in which one can multiply distributions the "`formal"' nonperturbative canonical Hamiltonian formalism in Quantum Field Theory makes sense mathematically, which can be understood a priori from the fact the so called "`infini

Externí odkaz: http://arxiv.org/abs/1801.03527

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Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context

Autor: Aragona, J., Colombeau, J. F., Juriaans, S. O.

In this paper we introduce Hausdorff locally convex algebra topologies on subalgebras of the whole algebra of nonlinear generalized functions. These topologies are strong duals of Fr\'echet-Schwartz space topologies and even strong duals of nuclear F

Externí odkaz: http://arxiv.org/abs/1403.4955

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Differential Calculus and Integration of Generalized Functions over Membranes

Autor: Aragona, J., Fernandez, R., Juriaans, S. O., Oberguggenberger, M.

In this paper we continue the development of the differential calculus started by Aragona-Ferandez-Juriaans. Guided by the topology introduced recently by those authors we introduce the notion of membranes and extend the definition of integrals given

Externí odkaz: http://arxiv.org/abs/0809.4039

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Natural Topologies on Colombeau Algebras

Autor: Aragona, J., Fernandez, R., Juriaans, S. O.

We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted. with this we take a positive step towards topological methods of solvi

Externí odkaz: http://arxiv.org/abs/0805.2869

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