Publications
Karl GROSSE-ERDMANN
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Nombre de publications : 106
2023
Périodiques scientifiques/Article
  • Grosse-erdmann, K., & Papathanasiou, D. (2023). Dynamics of Weighted Shifts on Directed Trees. "Indiana University Mathematics Journal, 72" (1), 263 - 299. doi:10.1512/iumj.2023.72.9315
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-erdmann, K. (07 August 2023). "Levy's phenomenon in the plane and on the disk" [Paper presentation]. Universality, Zeta-Functions, and Chaotic Operators, Marseille, France.
  • Grosse-erdmann, K. (01 July 2023). "Chaotic shift operators on trees" [Paper presentation]. Nordwestdeutsches Funktionalanalysis Kolloquium, Düsseldorf, Germany.
Mémoires et thèses/Thèse de doctorat
  • Agneessens, K. (2023). "Frequently Hypercyclic Random Vectors" [Doctoral thesis, UMONS - Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/46838
Conférences scientifiques dans des universités ou centres de recherche/Conférence scientifique dans des universités ou centres de recherche
  • Grosse-erdmann, K. (29 November 2023). "How chaotic is differentiation?" [Paper presentation]. Analysis & Geometry Seminar, Antwerpen, Anwerpen, Belgium.
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2022
Périodiques scientifiques/Article
  • Bonilla, A., Grosse-Erdmann, K., López-Martínez, A., & Peris, A. (15 December 2022). Frequently recurrent operators. "Journal of Functional Analysis, 283" (12), 109713. doi:10.1016/j.jfa.2022.109713
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (20 October 2022). "Zero-one law of orbital limit points" [Paper presentation]. International workshop on Functional analysis, Valencia, Spain.
  • Grosse-Erdmann, K. (21 September 2022). "Linear dynamics of shifts on trees" [Paper presentation]. Progress in Functional Analysis: Methods and applications, Lecce, Italy.
  • Grosse-Erdmann, K. (13 January 2022). "A curious difference between H(C) and H(D)" [Paper presentation]. Computational Methods and Function Theory, CMFT 2021, Valparaiso (en ligne), Chile.
Allocutions et communications diverses/Autre
  • Grosse-Erdmann, K. (2022). "Une seule orbite peut-elle créer le chaos?"
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2021
Périodiques scientifiques/Article
  • Charpentier, S., Grosse-Erdmann, K., & Menet, Q. (01 December 2021). Chaos and frequent hypercyclicity for weighted shifts. "Ergodic Theory and Dynamical Systems, 41", 3634-3670.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (24 September 2021). "Dynamique de shifts à poids sur un arbre" [Paper presentation]. Séminaire d'Analyse fonctionnelle, Lille, France.
  • Grosse-Erdmann, K. (16 June 2021). "Recurrent operators" [Paper presentation]. Four Days in Linear Dynamics, The University of Campania Luigi Vanvitelli (online), Italy.
  • Grosse-Erdmann, K. (02 May 2021). "Zero-one law of orbital limit points" [Paper presentation]. AMS Spring Western Sectional Meeting, San Francisco (virtual), United States.
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2020
Périodiques scientifiques/Article
  • Falcó, J., & Grosse-Erdmann, K. (16 March 2020). Algebras of frequently hypercyclic vectors. "Mathematische Nachrichten, 293" (6), 1120-1135.
  • Grosse-Erdmann, K. (01 January 2020). Karl Weierstrass: A Westphalian mathematician. "Mathematical Intelligencer, 42" (4), 60-63.
  • Falcó, J., & Grosse-Erdmann, K. (01 January 2020). Algebrability of the set of hypercyclic vectors for backward shift operators. "Advances in Mathematics, 366".
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (17 January 2020). "Opérateurs fréquemment récurrents" [Paper presentation]. Séminaire d'Analyse Fonctionnelle, Lille, France.
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2019
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (26 March 2019). Frequently hypercyclic bilateral shifts. "Glasgow Mathematical Journal, 61" (2), 271-286.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (05 December 2019). "Chaotic weighted backward shift operators" [Paper presentation]. Séminaire, Université de Valencia, Valencia, Spain.
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2018
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 September 2018). Upper frequent hypercyclicity and related notions. "Revista Matemática Complutense, 31" (3), 673-711.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (17 December 2018). "A glimpse at linear dynamics" [Paper presentation]. Recent advances in Operator theory and Operator algebras OTOA 2018, Bangalore, India.
  • Grosse-Erdmann, K. (25 October 2018). "Chaos and frequent hypercyclicity for weighted shifts" [Paper presentation]. Autumn Workshop ANR Front, Lens, France.
  • Grosse-Erdmann, K. (27 August 2018). "Linear dynamics" [Paper presentation]. Linear dynamics and Reconstruction of signals from incomplete frequency data, Copenhague, Denmark.
  • Grosse-Erdmann, K. (11 July 2018). "Algebren in der linearen Dynamik" [Paper presentation]. Séminaire, Trier, Germany.
  • Grosse-Erdmann, K. (03 July 2018). "Algebraic structures in linear dynamics" [Paper presentation]. Pawel Domanski Memorial Conference, Bedlewo, Poland.
Mémoires et thèses/Thèse de doctorat
  • Mestiri, M. (2018). "Common A-hypercyclicity" [Doctoral thesis, Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/9373
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2017
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (19 October 2017). "Frequently hypercyclic bilateral shifts" [Paper presentation]. Nonlinear functional analysis, Valencia, Spain.
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2016
Périodiques scientifiques/Article
  • Grosse-Erdmann, K., & Heuwelyckx, F. (2016). The pricing of lookback options and binomial approximation. "Decisions in Economics and Finance".
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (29 October 2016). "The search for linearity in linear dynamics" [Paper presentation]. Infinite dimensional analysis, Kent, United States.
  • Grosse-Erdmann, K. (26 October 2016). "Return times and associated densities in linear dynamics" [Paper presentation]. Measure theory seminar, Kent State University, Kent, United States.
  • Grosse-Erdmann, K. (25 June 2016). "Upper frequent hypercyclicity" [Paper presentation]. Workshop on Dynamics of linear operators, Istanbul, Turkey.
  • Grosse-Erdmann, K. (24 June 2016). "Frequently hypercyclic operators - a survey" [Paper presentation]. Workshop on Dynamics of linear operators, Istanbul, Turkey.
  • Grosse-Erdmann, K. (06 June 2016). "On upper frequent hypercyclicity" [Paper presentation]. Second joint conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño, Spain.
  • Grosse-Erdmann, K. (07 May 2016). "Upper frequent hypercyclicity" [Paper presentation]. Aspects of universality 2016, Würzburg, Germany.
  • Grosse-Erdmann, K. (22 January 2016). "Frequently hypercyclic operators, and related notions" [Paper presentation]. Séminaire d'analyse Liège Trèves, Trier, Germany.
Colloques et congrès scientifiques/Communication publiée dans un périodique
  • Grosse-Erdmann, K. (2016). "Frequently hypercyclic operators: Recent advances and open problems" [Paper presentation]. Advanved courses of mathematical analysis VI, Antequera, Spain.
Mémoires et thèses/Thèse de doctorat
  • Heuwelyckx, F. (2016). "Lookback options with floating strike and binomial approximations" [Doctoral thesis, Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/39183
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2015
Périodiques scientifiques/Article
  • Bennett, G., & Grosse-Erdmann, K. (01 January 2015). Some pretty simple inequalities I. "Positivity, 19" (2), 251-288.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (30 November 2015). "Upper frequent hypercyclicity, and related notions" [Paper presentation]. Journées du GdR 'Analyse fonctionnelle et harmonique et probabilités', Marseille, France.
  • Grosse-Erdmann, K. (28 September 2015). "Upper frequently hypercyclic operators" [Paper presentation]. Frontières de la dynamique linéaire, Marseille, France.
  • Grosse-Erdmann, K. (16 June 2015). "Upper-frequently hypercyclic operators" [Paper presentation]. Workshop on functional analysis Valencia 2015, Valencia, Spain.
  • Grosse-Erdmann, K. (21 May 2015). "Upper-frequently hypercyclic operators" [Paper presentation]. Universal functions 2015, Heraklion, Greece.
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2014
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (10 September 2014). "On frequently hypercyclic operators" [Paper presentation]. VI International Course of Mathematical Analysis in Andalucía, Antequeras, Málaga, Spain.
  • Grosse-Erdmann, K. (22 May 2014). "Some pretty simple inequalities" [Paper presentation]. 7th Conference on Function spaces, Edwardsville, United States - Illinois.
  • Grosse-Erdmann, K. (24 January 2014). "Un principe d'extrapolation dans la théorie des inégalités" [Paper presentation]. Séminaire d'analyse fonctionnelle, Lille, France.
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2013
Périodiques scientifiques/Article
  • Grosse-Erdmann, K., & Kim, S. G. (01 January 2013). Bihypercyclic bilinear mappings. "Journal of Mathematical Analysis and Applications, 399" (2), 701-708.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (04 June 2013). "Sums of powers vs. powers of sums" [Paper presentation]. Workshop Functional Analysis, Valencia, Spain.
Mémoires et thèses/Thèse de doctorat
  • Desmons, B. (2013). "Mathematical study of wrinkling shapes of thin membranes" [Doctoral thesis, Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/33122
  • Menet, Q. (2013). "Existence and non-existence of hypercyclic subspaces" [Doctoral thesis, Université de Mons]. ORBi UMONS-University of Mons. https://orbi.umons.ac.be/handle/20.500.12907/1687
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2012
Périodiques scientifiques/Article
  • Bonilla, A., & Grosse-Erdmann, K. (01 July 2012). Frequently hypercyclic subspaces. "Monatshefte für Mathematik, 168" (3-4), 305-320.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (22 October 2012). "Introduction to linear dynamics" [Paper presentation]. Ecole doctorale, Adam Mickiewicz University Poznan, Poland.
  • Grosse-Erdmann, K. (03 July 2012). "Topics in linear dynamics" [Paper presentation]. Ecole doctorale, Universitat Politecnica de Valencia, Spain.
  • Grosse-Erdmann, K. (13 June 2012). "A new paradigm for chaos" [Paper presentation]. Colloquium, Universität Würzburg, Germany.
  • Grosse-Erdmann, K. (07 June 2012). "Common subspaces of hypercyclic vectors" [Paper presentation]. 1st Joint conference of the Belgian, Royal Spanish and Luxembourg mathematical societies, Liège, Belgium.
  • Grosse-Erdmann, K. (08 May 2012). "Trivializing classical inequalities" [Paper presentation]. Functional Analysis: Applications of Complex Analysis, Bedlewo, Poland.
  • Grosse-Erdmann, K. (06 March 2012). "Bihypercyclic bilinear mappings" [Paper presentation]. HCAA 2012 Harmonic and Complex Analysis, Puerto de la Cruz, Tenerife, Spain.
  • Grosse-Erdmann, K. (31 January 2012). "Recent developments in linear dynamics" [Paper presentation]. 5th ILJU School of Mathematics, Gyeongju, South Korea.
  • Grosse-Erdmann, K. (18 January 2012). "Chaotisches Verhalten linearer Operatoren" [Paper presentation]. Colloquium, Katholische Universität Eichstätt, Germany.
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2011
Ouvrages/Ouvrage publié en tant qu’auteur, traducteur, etc.
  • Grosse-Erdmann, K., & Peris, A. (2011). "Linear Chaos". Springer Verlag.
Ouvrages/Ouvrage collectif publié en tant qu’éditeur ou directeur
  • Aron, R., Bès, J., Grosse-Erdmann, K., Peris, A., Aron, R. (Ed.), Bès, J. (Ed.), Grosse-Erdmann, K. (Ed.), & Peris, A. (Ed.). (2011). "Hypercyclicity and linear chaos". Springer.
Colloques et congrès scientifiques/Communication orale non publiée/Abstract
  • Grosse-Erdmann, K. (04 July 2011). "Frequently hypercyclic subspaces" [Paper presentation]. Universal functions and hypercyclic operators 2011, Heraklion, Crète, Greece.
  • Grosse-Erdmann, K. (25 May 2011). "Construction versus Baire category in universality" [Paper presentation]. Linear dynamics, La Laguna, Tenerife, Spain.
  • Grosse-Erdmann, K. (23 February 2011). "Recent developments in linear dynamics" [Paper presentation]. Trimester on functional analysis, complex analysis and operator theory, Valencia, Spain.
Allocutions et communications diverses/Article grand public
  • Grosse-Erdmann, K. (2011). "La compression d'image".
  • Grosse-Erdmann, K., & Menet, Q. (2011). "Le chaos linéaire : un paradoxe ?"
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2010
Périodiques scientifiques/Article
  • Blasco, O., Bonilla, A., & Grosse-Erdmann, K. (01 January 2010). Rate of growth of frequently hypercyclic functions. "Proceedings of the Edinburgh Mathematical Society, 53" (1), 39-59. doi:10.1017/S0013091508000564
  • Grosse-Erdmann, K., & Peris, A. (01 January 2010). Weakly mixing operators on topological vector spaces. "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas, 104" (2), 413-426. doi:10.5052/RACSAM.2010.25
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2009
Périodiques scientifiques/Article
  • Grosse-Erdmann, K., & Mortini, R. (01 July 2009). Universal functions for composition operators with non-automorphic symbol. "Journal d'Analyse Mathématique, 107", 355-376.
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2008
Périodiques scientifiques/Article
  • Grosse-Erdmann, K., León-Saavedra, F., & Piqueras-Lerena, A. (01 January 2008). The iterates of a map with dense orbit. "Acta Scientiarum Mathematicarum, 74" (1-2), 245-257.
  • Bayart, F., Grosse-Erdmann, K., Nestordis, V., & Papadimitropoulos, C. (01 January 2008). Abstract theory of universal series and applications. "Proceedings of the London Mathematical Society, 96" (2), 417-463.
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2007
Périodiques scientifiques/Article
  • Bonilla, A., & Grosse-Erdmann, K. (01 January 2007). Frequently hypercyclic operators and vectors. "Ergodic Theory and Dynamical Systems, 27" (2), 383-404. doi:10.1017/S014338570600085X
  • Bernal-González, L., & Grosse-Erdmann, K. (01 January 2007). Existence and non-existence of hypercyclic semigroups. "Proceedings of the American Mathematical Society, 135" (3), 755-766.
Colloques et congrès scientifiques/Communication publiée dans un périodique
  • Grosse-Erdmann, K. (2007). "Dynamics of linear operators" [Paper presentation]. Topics in complex analysis and operator theory, Malaga, Spain.
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2006
Périodiques scientifiques/Article
  • Bennett, G., & Grosse-Erdmann, K. (01 January 2006). Weighted Hardy inequalities for decreasing sequences and functions. "Mathematische Annalen, 334" (3), 489-531.
  • Bonilla, A., & Grosse-Erdmann, K. (01 January 2006). On a theorem of Godefroy and Shapiro. "Integral Equations and Operator Theory, 56" (12), 151-162. doi:10.1007/s00020-006-1423-
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2005
Périodiques scientifiques/Article
  • Bennett, G., & Grosse-Erdmann, K. (01 January 2005). On series of positive terms. "Houston Journal of Mathematics, 31" (2), 541-586.
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2004
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 2004). A weak criterion for vector-valued holomorphy. "Mathematical Proceedings of the Cambridge Philosophical Society, 136", 399-411.
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2003
Périodiques scientifiques/Article
  • Bernal-González, L., & Grosse-Erdmann, K. (01 January 2003). The hypercyclicity criterion for sequences of operators. "Studia Mathematica, 157", 17-32.
  • Grosse-Erdmann, K. (01 January 2003). Recent developments in hypercyclicity. "Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A Matemáticas, 97", 273-286.
  • deLaubenfels, R., Emamirad, H., & Grosse-Erdmann, K. (01 January 2003). Chaos for semigroups of unbounded operators. "Mathematische Nachrichten, 261-262", 47-59.
  • Connor, J., & Grosse-Erdmann, K. (01 January 2003). Sequential definitions of continuity for real functions. "Rocky Mountain Journal of Mathematics, 33", 93-121.
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2002
Périodiques scientifiques/Article
  • Bernal-González, L., Calderón-Moreno, M. C., & Grosse-Erdmann, K. (01 January 2002). Strongly omnipresent operators: general conditions and applications to composition operators. "Bulletin of the Australian Mathematical Society, 72", 335-348.
  • Bernal-González, L., Calderón-Moreno, M. C., & Grosse-Erdmann, K. (01 January 2002). Strongly omnipresent integral operators. "Integral Equations and Operator Theory, 44", 397-409.
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2001
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 2001). On l1 -invariant sequence spaces. "Journal of Mathematical Analysis and Applications, 262", 112-132.
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2000
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 2000). Rate of growth of hypercyclic entire functions. "Indagationes Mathematicae, 11", 561-571.
  • Grosse-Erdmann, K. (01 January 2000). Hypercyclic and chaotic weighted shifts. "Studia Mathematica, 139", 47-68.
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1999
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1999). Universal families and hypercyclic operators. "Bulletin of the American Mathematical Society, 36", 345-381.
  • Grosse-Erdmann, K. (01 January 1999). Strong weighted mean summability and Kuttner's theorem. "Journal of the London Mathematical Society, 59", 987-1002.
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1998
Ouvrages/Ouvrage publié en tant qu’auteur, traducteur, etc.
  • Grosse-Erdmann, K. (1998). "The blocking technique, weighted mean operators and Hardy's inequality". Springer Verlag.
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1997
Périodiques scientifiques/Article
  • Díaz, J. C., & Grosse-Erdmann, K. (01 January 1997). On non-distinguished matrix domains. "Results in Mathematics, 32", 285-290.
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1995
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1995). The locally convex topology on the space of meromorphic functions. "Bulletin of the Australian Mathematical Society, 59", 287-303.
  • Grosse-Erdmann, K., & Stadtmüller, K. (01 January 1995). Characterization of summability points of Nörlund methods. "Transactions of the American Mathematical Society, 347", 2563-2574.
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1994
Périodiques scientifiques/Article
  • Boos, J., Grosse-Erdmann, K., & Leiger, T. (01 January 1994). L_phi -spaces and some related sequence spaces. "Zeitschrift für Analysis und ihre Anwendungen, 13", 377-385.
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1993
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1993). T -solid sequence spaces. "Frontiers in Neuroscience, 11", 303-321.
  • Grosse-Erdmann, K. (01 January 1993). On the Borel-Okada theorem and the Hadamard multiplication theorem. "Complex Variables, 22", 101-112.
  • Grosse-Erdmann, K. (01 January 1993). Matrix transformations between the sequence spaces of Maddox. "Journal of Mathematical Analysis and Applications, 180", 223-238.
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1992
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1992). Topologies on matrix spaces and universal matrices. "Analysis, 12", 47-56.
  • Grosse-Erdmann, K. (01 January 1992). Matrix transformations involving analytic sequence spaces. "Mathematische Zeitschrift, 299", 499-510.
  • Grosse-Erdmann, K. (01 January 1992). On the f -dual of sequence spaces. "Archiv der Mathematik, 58", 575-581.
  • Grosse-Erdmann, K. (01 January 1992). The structure of the sequence spaces of Maddox. "Canadian Journal of Mathematics, 44", 298-307.
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1991
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1991). Lebesgue's theorem of differentiation in Frechet lattices. "Proceedings of the American Mathematical Society, 112", 371-379.
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1990
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1990). On the universal functions of G. R. MacLane. "Complex Variables, 15", 193-196.
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1989
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1989). An extension of the Steinhaus-Weil theorem. "Colloquium Mathematicum, 57", 307-317.
  • Grosse-Erdmann, K. (01 January 1989). Regularity properties of functional equations and inequalities. "Aequationes Mathematicae, 37", 233-251.
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1987
Périodiques scientifiques/Article
  • Grosse-Erdmann, K. (01 January 1987). Holomorphe Monster und universelle Funktionen. "Mitteilungen aus dem Mathematischen Seminar Giessen, 176", 1-84.
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