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Researcher
Hans Vernaeve
- Keywords:nonstandard analysis, generalized functions, functional analysis
- Disciplines:Functional analysis, Real functions, Integral transforms, operational calculus, Analysis not elsewhere classified
Affiliations
- Department of Mathematics: Analysis, Logic and Discrete Mathematics (Department)
Member
From1 Jan 2019 → Today - Department of Mathematics: Algebra and Geometry (Department)
Member
From1 Oct 1998 → 31 Dec 2018
Projects
1 - 2 of 2
- Nonstandard analysis in special modelsFrom1 Oct 2018 → 30 Sep 2020Funding: BOF - Doctoral projects
- Spaces of analytic functions in linear and nonlinear generalized function theoryFrom1 Oct 2014 → 30 Sep 2018Funding: BOF - Doctoral projects
Publications
1 - 10 of 20
- Regularity of nonlinear generalized functions : a counterexample in the nonstandard setting(2021)
Authors: Hans Vernaeve
- An application of internal objects to microlocal analysis in generalized function algebras(2017)Series: Operator Theory : Advances and Applications
Authors: Hans Vernaeve, Michael Oberguggenberger, Joachim Toft, Jasson Vindas Diaz, Patrick Wahlberg
Pages: 237 - 251 - Generalized functions on the closure of an open set : applications to uniqueness of some characteristic Cauchy problem(2016)
Authors: Victor Dévouée, Jean-André Marti, Hans Vernaeve, Jasson Vindas Diaz
Pages: 163 - 180 - Microlocal analysis in generalized function algebras based on generalized points and generalized directions(2016)
Authors: Hans Vernaeve
Pages: 205 - 215 - Strongly internal sets and generalized smooth functions(2015)
Authors: Paolo Giordano, Michael Kunzinger, Hans Vernaeve
Pages: 56 - 71 - Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)(2014)
Authors: A Khelif, D Scarpalezos, Hans Vernaeve
Pages: 2721 - 2739 - Topological properties of regular generalized function algebras(2014)
Authors: Hans Vernaeve
Pages: 433 - 439 - Asymptotic distribution of integers with certain prime factorizations(2014)
Authors: Hans Vernaeve, Jasson Vindas Diaz, Andreas Weiermann
Pages: 87 - 99 - Characterization of distributions having a value at a point in the sense of Robinson(2012)
Authors: Hans Vernaeve, Jasson Vindas Diaz
Pages: 371 - 374 - Hilbert C-modules: structural properties and applications to variational problems(2011)
Authors: Claudia Garetto, Hans Vernaeve
Pages: 2047 - 2090