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Regularity of nonlinear generalized functions : a counterexample in the nonstandard setting
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- Journal Article
- A1
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Filter-dependent versions of the uniform boundedness principle
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- Journal Article
- A1
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A nonlinear theory of infrahyperfunctions
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Optimal embeddings of ultradistributions into differential algebras
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- Book Chapter
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An application of internal objects to microlocal analysis in generalized function algebras
(2017) Generalized functions and Fourier analysis. In Operator Theory : Advances and Applications 260. p.237-251 -
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Generalized functions on the closure of an open set : applications to uniqueness of some characteristic Cauchy problem
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Microlocal analysis in generalized function algebras based on generalized points and generalized directions
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- A1
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Strongly internal sets and generalized smooth functions
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- Journal Article
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Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)
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- Journal Article
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Topological properties of regular generalized function algebras
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- Journal Article
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Asymptotic distribution of integers with certain prime factorizations
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Characterization of distributions having a value at a point in the sense of Robinson
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- Journal Article
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Nonstandard principles for generalized functions
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- Journal Article
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Isomorphisms of algebras of generalized functions
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- Journal Article
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Hilbert C-modules: structural properties and applications to variational problems
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Ideals in the ring of Colombeau generalized numbers
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Weak homogeneity in generalized function algebras
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Pointwise characterizations in generalized function algebras
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Internal sets and internal functions in Colombeau theory
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Group invariant Colombeau generalized functions
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Homogeneity in generalized function algebras
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The local structure of nonstandard representatives of distributions
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Full algebra of generalized functions and non-standard asymptotic analysis
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Optimal embeddings of distributions into algebras
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Embedding distributions in algebras of generalized functions with singularities
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Asymptotics of differentiated Bernstein polynomials