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Optimal embeddings of ultradistributions into differential algebras

Andreas Debrouwere (UGent) , Hans Vernaeve (UGent) and Jasson Vindas Diaz (UGent)

(2018) MONATSHEFTE FUR MATHEMATIK.
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An application of internal objects to microlocal analysis in generalized function algebras

Hans Vernaeve (UGent)

(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

Victor Dévouée, Jean-André Marti, Hans Vernaeve (UGent) and Jasson Vindas Diaz (UGent)

(2016) NOVI SAD JOURNAL OF MATHEMATICS. 46(2). p.163-180
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Microlocal analysis in generalized function algebras based on generalized points and generalized directions

Hans Vernaeve (UGent)

(2016) MONATSHEFTE FUR MATHEMATIK. 181. p.205-215
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Strongly internal sets and generalized smooth functions

Paolo Giordano, Michael Kunzinger and Hans Vernaeve (UGent)

(2015) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 422(1). p.56-71
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Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)

A Khelif, D Scarpalezos and Hans Vernaeve (UGent)

(2014) COMMUNICATIONS IN ALGEBRA. 42(6). p.2721-2739
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Topological properties of regular generalized function algebras

Hans Vernaeve (UGent)

(2014) MONATSHEFTE FUR MATHEMATIK. 173(3). p.433-439
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Asymptotic distribution of integers with certain prime factorizations

Hans Vernaeve (UGent) , Jasson Vindas Diaz (UGent) and Andreas Weiermann (UGent)

(2014) JOURNAL OF NUMBER THEORY. 136. p.87-99
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Characterization of distributions having a value at a point in the sense of Robinson

Hans Vernaeve (UGent) and Jasson Vindas Diaz (UGent)

(2012) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 396(1). p.371-374
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Nonstandard principles for generalized functions

Hans Vernaeve (UGent)

(2011) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 384(2). p.536-548

Academic Bibliography

Optimal embeddings of ultradistributions into differential algebras

An application of internal objects to microlocal analysis in generalized function algebras

Generalized functions on the closure of an open set : applications to uniqueness of some characteristic Cauchy problem

Microlocal analysis in generalized function algebras based on generalized points and generalized directions

Strongly internal sets and generalized smooth functions

Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)

Topological properties of regular generalized function algebras

Asymptotic distribution of integers with certain prime factorizations

Characterization of distributions having a value at a point in the sense of Robinson

Nonstandard principles for generalized functions

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