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## Vernaeve, Hans

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 Author ID: vernaeve.hans Published as: Vernaeve, H.; Vernaeve, Hans External Links: MGP · Wikidata
 Documents Indexed: 26 Publications since 2001
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#### Co-Authors

 12 single-authored 5 Vindas, Jasson 3 Dévoué, Victor 3 Marti, Jean-André 2 Allaud, Emmanuel 2 Debrouwere, Andreas 2 Delcroix, Antoine 1 Garetto, Claudia 1 Giordano, Paolo Robuffo 1 Hanel, Clemens 1 Impens, Chris 1 Khelif, A. L. 1 Kunzinger, Michael 1 Mayerhofer, Eberhard 1 Oberguggenberger, Michael B. 1 Pilipović, Stevan 1 Scarpalezos, Dimitris 1 Todorov, Todor Dimitrov 1 Weiermann, Andreas
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#### Serials

 7 Monatshefte für Mathematik 5 Journal of Mathematical Analysis and Applications 2 Communications in Algebra 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Constructive Approximation 1 Novi Sad Journal of Mathematics 1 Portugaliae Mathematica. Nova Série 1 Logic and Analysis 1 Mathematical Modelling of Natural Phenomena 1 Kyoto Journal of Mathematics
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#### Fields

 23 Functional analysis (46-XX) 7 Partial differential equations (35-XX) 2 Commutative algebra (13-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH

19 Publications have been cited 91 times in 57 Documents Cited by Year
Internal sets and internal functions in Colombeau theory. Zbl 1173.46024
Oberguggenberger, M.; Vernaeve, H.
2008
Ideals in the ring of Colombeau generalized numbers. Zbl 1198.13022
Vernaeve, Hans
2010
Hilbert $$\widetilde{\mathbb{C}}$$-modules: structural properties and applications to variational problems. Zbl 1250.46030
Garetto, Claudia; Vernaeve, Hans
2011
Full algebra of generalized functions and non-standard asymptotic analysis. Zbl 1194.46064
Todorov, Todor D.; Vernaeve, Hans
2008
Nonstandard principles for generalized functions. Zbl 1236.46041
Vernaeve, H.
2011
Pointwise characterizations in generalized function algebras. Zbl 1187.46032
Vernaeve, Hans
2009
Optimal embeddings of ultradistributions into differential algebras. Zbl 1403.46033
Debrouwere, Andreas; Vernaeve, Hans; Vindas, Jasson
2018
Strongly internal sets and generalized smooth functions. Zbl 1328.46037
Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans
2015
Isomorphisms of algebras of generalized functions. Zbl 1226.46040
Vernaeve, Hans
2011
Group invariant Colombeau generalized functions. Zbl 1140.46020
Vernaeve, Hans
2008
Homogeneity in generalized function algebras. Zbl 1140.46019
Hanel, Clemens; Mayerhofer, Eberhard; Pilipović, Stevan; Vernaeve, Hans
2008
Characterization of distributions having a value at a point in the sense of Robinson. Zbl 1276.46032
Vernaeve, H.; Vindas, J.
2012
Optimal embeddings of distributions into algebras. Zbl 1058.46022
Vernaeve, H.
2003
Embedding distributions in algebras of generalized functions with singularities. Zbl 1112.46035
Vernaeve, H.
2003
Microlocal analysis in generalized function algebras based on generalized points and generalized directions. Zbl 1357.35014
Vernaeve, Hans
2016
Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization). Zbl 1311.54011
Khelif, A.; Scarpalezos, D.; Vernaeve, H.
2014
Asymptotic distribution of integers with certain prime factorizations. Zbl 1284.05033
Vernaeve, Hans; Vindas, Jasson; Weiermann, Andreas
2014
Weak homogeneity in generalized function algebras. Zbl 1298.46040
Vernaeve, Hans
2010
Asymptotics of differentiated Bernstein polynomials. Zbl 1015.41004
Impens, C.; Vernaeve, H.
2001
Optimal embeddings of ultradistributions into differential algebras. Zbl 1403.46033
Debrouwere, Andreas; Vernaeve, Hans; Vindas, Jasson
2018
Microlocal analysis in generalized function algebras based on generalized points and generalized directions. Zbl 1357.35014
Vernaeve, Hans
2016
Strongly internal sets and generalized smooth functions. Zbl 1328.46037
Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans
2015
Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization). Zbl 1311.54011
Khelif, A.; Scarpalezos, D.; Vernaeve, H.
2014
Asymptotic distribution of integers with certain prime factorizations. Zbl 1284.05033
Vernaeve, Hans; Vindas, Jasson; Weiermann, Andreas
2014
Characterization of distributions having a value at a point in the sense of Robinson. Zbl 1276.46032
Vernaeve, H.; Vindas, J.
2012
Hilbert $$\widetilde{\mathbb{C}}$$-modules: structural properties and applications to variational problems. Zbl 1250.46030
Garetto, Claudia; Vernaeve, Hans
2011
Nonstandard principles for generalized functions. Zbl 1236.46041
Vernaeve, H.
2011
Isomorphisms of algebras of generalized functions. Zbl 1226.46040
Vernaeve, Hans
2011
Ideals in the ring of Colombeau generalized numbers. Zbl 1198.13022
Vernaeve, Hans
2010
Weak homogeneity in generalized function algebras. Zbl 1298.46040
Vernaeve, Hans
2010
Pointwise characterizations in generalized function algebras. Zbl 1187.46032
Vernaeve, Hans
2009
Internal sets and internal functions in Colombeau theory. Zbl 1173.46024
Oberguggenberger, M.; Vernaeve, H.
2008
Full algebra of generalized functions and non-standard asymptotic analysis. Zbl 1194.46064
Todorov, Todor D.; Vernaeve, Hans
2008
Group invariant Colombeau generalized functions. Zbl 1140.46020
Vernaeve, Hans
2008
Homogeneity in generalized function algebras. Zbl 1140.46019
Hanel, Clemens; Mayerhofer, Eberhard; Pilipović, Stevan; Vernaeve, Hans
2008
Optimal embeddings of distributions into algebras. Zbl 1058.46022
Vernaeve, H.
2003
Embedding distributions in algebras of generalized functions with singularities. Zbl 1112.46035
Vernaeve, H.
2003
Asymptotics of differentiated Bernstein polynomials. Zbl 1015.41004
Impens, C.; Vernaeve, H.
2001
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#### Cited by 50 Authors

 14 Vernaeve, Hans 10 Giordano, Paolo Robuffo 9 Kunzinger, Michael 8 Vindas, Jasson 5 Aragona, Jorge 4 Debrouwere, Andreas 4 Juriaans, Stanley Orlando 4 Scarpalezos, Dimitris 3 Baglini, Lorenzo Luperi 3 Garcia, Antônio Ronaldo Gomes 3 Hormann, Gunther 3 Nigsch, Eduard Albert 3 Oberguggenberger, Michael B. 3 Pilipović, Stevan 2 Burtscher, Annegret Y. 2 Khalfallah, Adel 2 Konjik, Sanja 2 Todorov, Todor Dimitrov 2 van der Walt, Jan Harm 1 Agbebaku, Dennis Ferdinand 1 Allaud, Emmanuel 1 Baty, Roy S. 1 Bottazzi, Emanuele 1 Colombeau, Jean-François 1 Cortes, Wagner 1 da Silva, Severino Horácio 1 Dave, Shantanu 1 Debruyne, Gregory 1 Deguchi, Hideo 1 Delcroix, Antoine 1 Dévoué, Victor 1 Echi, Othman 1 Eskandari, Rasoul 1 Fernandez, Roseli 1 Frank, Michael 1 Garetto, Claudia 1 Gavrea, Ioan 1 Hanel, Clemens 1 Impens, Chris 1 Khelif, A. L. 1 Khelif, Anatole 1 Kim, Namhoon 1 Lecke, Alexander 1 Manuĭlov, Vladimir Markovich 1 Marti, Jean-André 1 Mayerhofer, Eberhard 1 Moslehian, Mohammad Sal 1 Neyt, Lenny 1 Tucker, Don H. 1 Vučković, Đorđe
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#### Cited in 23 Serials

 13 Monatshefte für Mathematik 7 Journal of Mathematical Analysis and Applications 4 Mathematische Nachrichten 4 Integral Transforms and Special Functions 3 Communications in Algebra 2 Advances in Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 1 Applicable Analysis 1 Astrophysics and Space Science 1 Israel Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Algebra 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Abstract and Applied Analysis 1 Positivity 1 Mathematical Modelling of Natural Phenomena 1 Kyoto Journal of Mathematics 1 Advances in Nonlinear Analysis
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#### Cited in 23 Fields

 50 Functional analysis (46-XX) 9 Partial differential equations (35-XX) 8 Real functions (26-XX) 5 Mathematical logic and foundations (03-XX) 5 General topology (54-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX)

#### Wikidata Timeline

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