Página web del Grupo de Análisis No Lineal de la Universidad de Sevilla



Luis Bernal González





Artículos/preprints publicados:



1. Holomorphic operators generating dense images,
Integral Equations and Operator Theory, 60, 1--11, 2008.

Luis Bernal González, María del Carmen Calderón Moreno y José Antonio Prado Bassas.

2. Lineability of sets of nowhere analytic functions,
Journal of Mathematical Analysis and Applications , 340, 1284--1295, 2008.

Luis Bernal González .

3. Dense-lineability in spaces of continuous functions ,
Proceedings of the American Mathematical Society, 136, 3163--3169, 2008.

Luis Bernal González.

4. Large linear manifolds of non-continuable boundary-regular holomorphic functions,
Journal of Mathematical Analysis and Applications, 341, 337--345, 2008.

Luis Bernal González, María del Carmen Calderón Moreno y Wolfgang Luh.

5. Cyclicity of coefficient multipliers: Linearstructure,
Acta Mathematica Hungarica, 114, 287-300, 2007. Acceso a más información

Luis Bernal González, María del Carmen Calderón Moreno y José Antonio Prado Bassas.

6. Existence and non-existence of hypercyclicsemigroups,
Proceedings of the American Mathematical Society, 135, 755--766, 2007.

Luis Bernal González y Karl-Goswin Grosse-Erdmann.

7. Maximal cluster sets of L-analytic functions onarbitrary curves,
Constructive Approximation, 25, 211--219, 2007. Acceso a más información

Luis Bernal González, Antonio Bonilla, María del Carmen Calderón Moreno y José Antonio Prado Bassas.

8. Compositional hypercyclicity equals supercyclicity,
Houston Journal of Mathematics, 33, 581--591, 2007.

Luis Bernal González, Antonio Bonilla y María del Carmen Calderón Moreno.

9. Disjoint hypercyclic operators,
Studia Mathematica, 182, 113-131, 2007.

Luis Bernal González.

10. Universal matrix transforms of holomorphic functions,
Houston Journal of Mathematics, 32, 315--324, 2006.

Luis Bernal González, María del Carmen Calderón Moreno y Wolfgang Luh.

11. Hypercyclic subspaces in Fréchet spaces,
Proceedings of the American Mathematical Society, 134, 1955--1961, 2006.

Luis Bernal González.

12. Linear structure of weighted holomorphicnon-extendibility,
Bulletin of the Australian Mathematical Society, 73, 335--344, 2006.

Luis Bernal González.

13. Interpolation by tamed entire functions,
Mathematica Balkanica (N.S.), 20, 161--166, 2006.

Luis Bernal González.

14. Compositional universality on the unit ball of C^N,
Analysis, 26, 365-372, 2006.

Luis Bernal González, María del Carmen Calderón Moreno y Antonio Bonilla.

15. Universality of entire functions bounded on closed sets ,
Journal of Mathematical Analysis and Applications, 315, 302--316, 2006.

L. Bernal y A. Bonilla.

16. Lacunary non-continuable boundary-regular holomorphic functions with universal properties,
Journal of Contemporary Mathematical Analysis, 41, 27-40, 2006.

Luis Bernal González, María del Carmen Calderón Moreno y Wolfgang Luh.

17. U-operators,
Australian Mathematical Society Journal, 78, 59-89, 2005.

Luis Bernal González, José Antonio Prado Tendero.

18. Linear Kierst-Szpilrajn theorems,
Studia Mathematica, 166, 55-69, 2005.

Luis Bernal González.

19. Simultaneously maximal radial cluster sets,
Journal of Approximation Theory, 135, 114-124, 2005. Acceso a más información

Luis Bernal González, María del Carmen Calderón Moreno, José Antonio Prado Bassas.

20. Supercyclic sequences of differential operators,
Acta Mathematica Hungarica, 107, 89-108, 2005.

Luis Bernal González, José Antonio Prado Tendero.

21. Backward $\phi$-shifts and universality,
Journal of Mathematical Analysis and Applications, 315, 180-196, 2005.

Luis Bernal González.

22. Universal entire functions for affine endomorphisms of C-N,
Journal of Mathematical Analysis and Applications, 305, 690-697, 2005.

Luis Bernal González.

23. Universality on higher order Hardy spaces,
Bulletin of the Australian Mathematical Society, 71, 17-28, 2005.

Luis Bernal González, Anotnio Bonilla Ramírez, María del Carmen Calderón Moreno.

24. Universal matrix-overconvergence of non-continuable holomorphic functions,
Analisis Matematica, 31, 235-250, 2005.

L. Bernal Gonzalez, M.C. Calderon Moreno, W. Luh.

25. Maximal cluster sets along arbitrary curves,
Journal of Approximation Theory, 129, 207-216, 2004. Acceso a más información

Luis Bernal González, María del Carmen Calderón Moreno, José Antonio Prado Bassas.

26. Nondenseness of $2$-graphs of equicontinuous families,
Acta Scientiarum Mathematicarum, 70, 839-857, 2004.

Luis Bernal González.

27. Norms of hypercyclic sequences,
Mathematica Pannonica, 15, 221-230, 2004.

Luis Bernal González.

28. Two hyperbolic Schwarz lemmas,
Bulletin of the Australian Mathematical Society, 67, 521-522, 2003.

Luis Bernal González, María del Carmen Calderón Moreno.

29. Universal transforms of the geometric series under generalized Riesz methods,
Computational Methods and Function Theory, 3, 285-297, 2003.

Luis Bernal González, María del Carmen Calderón Moreno, Wolfgang Luh.

30. Universality and summability of trigonometric polynomials and trigonometric series,
Periodica Mathematica Hungarica. Journal of the Janos Bolyai Mathematical Society, 46, 119-133, 2003.

Wolfgang Luh, Luis Bernal González, María del Carmen Calderón Moreno.

31. Boundary-chaotic behaviour of continuous functions under the action of operators,
Prodeedings of the Edinburgh Mathematical Society, 46, 451-464, 2003.

Luis Bernal González, María del Carmen Calderón Moreno.

32. The hypercyclicity criterion for sequences of operators,
Studia Mathematica, 157, 17-32, 2003.

Luis Bernal González, Karl-Groswin Grosse-Erdmann.

33. Two Hyperbolic Schwarz lemmas,
Bulletin of the Australian Mathematical Society, 66, 17-24, 2002.

Luis Bernal González, María del Carmen Calderón Moreno.

34. Strongly omnipresent operators: general conditions and applications to composition operators,
Australian Mathematical Society, Journal, 72, 335-348, 2002.

Luis Bernal González, María del Carmen Calderón Moreno, Karl-Goswin Grosse-Erdmann.

35. Strongly omnipresent integral operators,
Integral Equations and Operator Theory, 44, 397-409, 2002.

Luis Bernal González, María del Carmen Calderón Moreno, Karl-Goswin Grosse-Erdmann.

36. Exponential type of hypercyclic entire functions,
Archiv der Mathematik, 78, 283-290, 2002.

Luis Bernal González, Antonio Bonilla Ramírez.

37. Dense range perturbations of hypercyclic operators,
Colloquium Mathematicum, 91, 283-292, 2002.

Luis Bernal González.

38. Monsters in Hardy and Bergman spaces,
Complex Variables, Theory and Application, 47, 373-382, 2002.

Luis Bernal González, María del Carmen Calderón Moreno.

39. Dense linear manifolds of monsters,
Journal of Approximation Theory, 119, 156-180, 2002.

Luis Bernal González, María del Carmen Calderón Moreno.

40. Sequences of differencial operators: exponentials, hypercyclicity and equicontinuity,
Annales Polonici Mathematici, 77, 169-187, 2001.

Luis Bernal González, José Antonio Prado Tendero .

41. Operators with dense images everywhere,
Journal of Mathematical Analysis and Applications, 263, 95-109, 2001.

Luis Bernal González, María del Carmen Calderón Moreno.

42. Isomodular interpolating sequences,
Rev. Roumaine Math. Pures Appl., , 565-570, 2001.

Luis Bernal González.

43. A note of universal and non-universal invertible selfmappings,
Mathematica Balkanika, , 251-259, 2001.

Luis Bernal González.

44. Multiplicative sequences for universal sequences of mappings,
Mathematica Pannonica, 12, 167-175, 2001.

Luis Bernal González.

45. Universal images of universal elements,
Studia Mathematica, 138, 241-250, 2000.

Luis Bernal González.

46. A note on approximation of holomorphic functions by exponentials ,
Indian Journal of Pure and Applied Mathematics, 31, 573--582, 2000.

Luis Bernal González.

47. Holomorphic T-monsters and strongly omnipresent operators ,
Journal of Approximation Theory, 104, 204-219, 2000.

Luis Bernal González, María del Carmen Calderón Moreno.

48. A Seidel-Walsh theorem with linear differential operators,
Archiv der Mathematic, 62, 367-375, 1999.

Luis Bernal González, María del Carmen Calderón Moreno.

49. On hypercyclic operators on Banach spaces,
Proceedings of the American Mathematical Society, 127, 1003--1010, 1999.

Luis Bernal González.

50. Densely hereditarily hypercyclic sequences and large hypercyclic manifolds,
Proceedings of the American Mathematical Society, 127, 3279--3285, 1999.

Luis Bernal González.

51. Holomorphic functions having large images under the action of differential operators ,
Journal of Mathematical Analysis and Applications, 230, 390-399, 1999.

Luis Bernal González.

52. Small entire functions with extremely fast growth,
Journal of Mathematical Analysis and Applications, 207, 541-548, 1997.

Luis Bernal González.

53. On universal functions with zero-free derivatives,
Archiv der Mathematik, 68, 145-150, 1997.

Luis Bernal González.

54. A Schwarz Lemma for convex domains in arbitrary Banach spaces ,
Journal of Mathematical Analysis and Applications, 200, 511-517, 1996.

Luis Bernal González .

55. A lot of 'counterexamples' to Liouville's theorem,
Journal of Mathematical Analysis and Applications, 201, 1002-1009, 1996.

Luis Bernal González.

56. Universal functions for Taylor shifts,
Complex Variables, 31, 121-129, 1996.

Luis Bernal González.

57. Universal functions for composition operators,
Complex Variables, 27, 47-56, 1995.

Luis Bernal González, Alfonso Montes Rodríguez.

58. Non-finite dimensional closed vector spaces of universal functions for composition operators,
Journal of Approximation Theory, 82, 375-391, 1995.

Luis Bernal González, Alfonso Montes Rodríguez.

59. Plane sets having dense holomorphic images,
Revue Roumaine de Mathématiques Pures et Appliquées, 40, 567-569, 1995.

Luis Bernal González.

60. Derivative and antiderivative operators and the size of complex domains,
Annales Polonici Mathematici, , 267-274, 1994.

Luis Bernal González.

61. The order of a class of meromorphic functions,
Afrika Mathematica, 4, 37-42, 1994.

Luis Bernal González.

62. Omnipresent holomorphic operators and maximal cluster sets,
Colloquium Mathematicum, 63, 315-322, 1992.

Luis Bernal González.

63. Linear independence of iterates of entire functions,
Proceedings of the American Mathematical Society, 112, 1033-1036, 1991.

Luis Bernal González.

64. Una nota sobre sucesiones complejas y equicontinuidad de operadores,
Revue Roumaine de Mathématiques Pures et Appliquées, 34, 643-645, 1989.

Luis Bernal González.

65. On a theorem of Hardy and Littlewood,
Proceedings of the American Mathematical Society, 104, 1078-1080, 1988.

Luis Bernal González.

66. On growth $K$-order of solutions of a comlex homogeneous linear differential equation,
Proceedings of the American Mathematical Society, , 317-322, 1987.

Luis Bernal González.

67. Exponente de convergencia generalizado de una sucesión compleja,
Collectanea Mathematica, 38, 57-64, 1987.

Luis Bernal González.

68. Funciones con derivadas sucesivas grandes y pequeñas por doquier,
Collectanea Mathematica, 38, 317-322, 1987.

Luis Bernal González.

69. 1,
1, 1, 1, 1981. Acceso a más información

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Charlas y ponencias:



1. Teoremas lineales de Kierst-Szpilrajn,
Seminario del Departamento de Análisis Matemático de la Universidad de La Laguna, Tenerife, 2004.

Luis Bernal González.

2. Hiperciclicidad de los operadores de composición,
Seminario del Departamento de Matemáticas de la Universidad de Huelva, 2004.

Luis Bernal González.

3. Universalidad y Caos Lineal,
Seminario del Departamento de Matemáticas de la Universidad de Huelva, 2004.

Luis Bernal González.

4. Monstruos holomorfos y operadores,
Seminario del Departamento de Análisis Matemático de la Universidad Complutense de Madrid, 2002.

Luis Bernal González.

5. Operadores con acción fronteriza fuertemente caótica,
Seminario del Departamento de Matemáticas de la Universidad de Cádiz, 2001.

Luis Bernal González.

6. Algunos problemas de universalidad e hiperciclicidad,
Seminario del Departamento de Análisis Matemático de la Universidad de La Laguna, Tenerife, 1999.

Luis Bernal González.

7. Variedades grandes de vectores universales,
Seminario del Departamento de Matemáticas de la Universidad Complutense de Madrid, 1998.

Luis Bernal González.