Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functionals and operator kernels as elements of dual spaces. A large class of examples is provided by pseudodifferential operators acting on Colombeau algebras. By a refinement of symbol calculus we review a new characterization of the wave front set for generalized functions with applications to microlocal analysis
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
Abstract. We provide sufficient conditions of local solvability for partial dif-ferential operators ...
We study modules over the ring C ̃ of complex generalized numbers from a topological point of view, ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We introduce different notions of wave front set for the functionals in the dual of the Colomboau al...
We study modules over the ring ℂ̃ of complex generalized numbers from a topological point of view, i...
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau...
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau...
We give a description of various algebras of generalized functions based on the introduction of pseu...
We characterize microlocal regularity, in the script G sign ∞-sense, of Colombeau generalized functi...
In Colombeau's theory, given an open subset Ω of ℝn, there is a differential algebra G(Ω) of general...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
Abstract. We provide sufficient conditions of local solvability for partial dif-ferential operators ...
We study modules over the ring C ̃ of complex generalized numbers from a topological point of view, ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We study the topological duals of the Colombeau algebras Gc(Ω) , G(Ω) and GS(Rn) , discussing some ...
We introduce different notions of wave front set for the functionals in the dual of the Colomboau al...
We study modules over the ring ℂ̃ of complex generalized numbers from a topological point of view, i...
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau...
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau...
We give a description of various algebras of generalized functions based on the introduction of pseu...
We characterize microlocal regularity, in the script G sign ∞-sense, of Colombeau generalized functi...
In Colombeau's theory, given an open subset Ω of ℝn, there is a differential algebra G(Ω) of general...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
General algebras of ultradifferentiable generalized functions satisfying some regularity assumptions...
Abstract. A new approach to the algebra Gτ of temperate nonlinear general-ized functions is proposed...
Abstract. We provide sufficient conditions of local solvability for partial dif-ferential operators ...
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