|
|
Lehrbuch
Konzepte der Funktionentheorie Link
Artikel in Tagungsberichten
3.
Generic Boundary Behaviour of Taylor Series in Banach Spaces of Holomorphic Functions.
In: Spaces of Analytic Functions: Approximation, Interpolation, Sampling,
Research Perspectives CRM Barcelona, Springer, 2021, pp. 137-143; Herausgeber: E. Abakumov, A.Baranov, A. Borichev, K. Fedorovsky,
J Ortega-Cerda Link Preprint.
2. -, E. Abakumov, V. Nestoridis: Families of universal Taylor series depending on a parameter. In: New Trends in Approximation
Theory, Fields Institute Communications, 81.2018; Herausgeber: Javad Mashreghi, Myrto Manolaki, Paul M. Gauthier
Link Preprint.
1. From polynomial approximation to universal Taylor series and back again. In: Oberwolfach Reports, 5.2008, Herausgeber: Paul M. Gauthier, Karl-Goswin Grosse-Erdmann, Raymond Mortini, pp. 297–346
Link
Preprint
Preprints
Artikel in Zeitschriften
69. -, L. Frerick, T. Thomaser: A Fourier integrel formula for logarithmic energy.
In: Potential Analysis, DOI 10.1007/s11118-024-10125-9 Preprint
Link
68. -, L. Frerick, M. Müller: The harmonic Faber operator and approximate
solutions of Dirichlet problems. Erscheint in: Complex Analysis and Operator Theory
preprint.
67. -, P. Gerlach-Mena: Spaceability of subsets of the disc algebra. In: Computational Methods
and Function Theory 23.2023, 73-86 Preprint.
Link
66. -, T. Meyrath: Non-normality, topological transitivity
and expanding families. In: Mathematical Proceedings of the Cambridge Philosophical Society 173.2022, 511-523
Preprint
Link.
65. -, M. Thelen: Dynamics of the Taylor shift on Bergman spaces. In: Journal of Operator Theory 87.2022, 25-40.
Preprint Link.
64. -, P. Gerlach-Mena: l^p-type Dirichlet spaces. In: Mediterranean Journal of Mathematics 19.2022, Aricle Number 105
Preprint Link.
63. -, H.-P. Beise, L. Frerick: Mixing operators with prescribed unimodular eigenvectors.
In: Ergodic Theory and Dynamical
Systems 42.2022, 1-8. Preprint
Link.
62. -, L. Bernal-González, A. Jung: Universality vs. non-normality of families of meromorphic functions. In: Proceedings
of the American Mathematical Society 149.2021, 761-771.
Preprint
Link.
61. Spurious limit functions of Taylor series. In: Analysis and Mathematical Physics 9.2019, 875-885.
Preprint Link
.
60. -, G. Costakis, A. Jung: Generic behaviour of classes of Taylor series outside the unit disc. In: Constructive Approximation 49.2019, 509-524.
Preprint Link .
59. -, T. Müller: 3 in 1. In: Elemente der Mathematik 73.2018, 133-135. Preprint
Link.
58. -, A. Jung: Spherical Universality of composition operators. In: Complex Variables and Elliptic Equations 63.2018, 1033-1043.
Preprint
Link
57. -, L.Bernal-González, A. Jung: Banach spaces of universal Taylor series in the disc algebra. In:
Integral Equations and Operator Theory 86.2016, 1-11. Preprint
Link
56. -, P. Beise: Generic boundary behaviour of Taylor series in Hardy and Bergman spaces. In: Mathematische Zeitschrift 284.2016, 1185-1197.
Preprint
Link
55. -, S. Episkoposian: Pointwise universality of partial sums of Fourier series by generalized Walsh system,
In: Russian Mathematics (Iz. VUZ) 60.2016, 32-40.
54. -, T. Lorson: Convolution operators on spaces of holomorphic functions. In: Studia Mathematica 227.2015, 111-131. Preprint.
53. -, H.-P. Beise, T. Meyrath: Mixing Taylor shifts and universal Taylor series. In: Bulletin of the London Mathematical Society 47.2015, 136-142.
Preprint
Link
52. -, S. Episkoposian: Universality properties of Walsh-Fourier series. In: Monatshefte für Mathematik 175.2014, 511-518.
Link
51. -, H.-P. Beise, T. Meyrath: Limit functions of discrete dynamical systems. In: Conformal Geometry and Dynamics 18.2014, 56-64.
Link
50. -, T. Meyrath: On the behaviour of the successive derivatives of meromorphic functions on the final set. In: Journal d’Analyse Mathematique 120.2013, 131-149.
49. -, P. Beise: Limit functions of iterates of entire functions on the Julia set. In: Proceedings of the American Mathematical Society 141.2013, 3929-3933.
Link
48. -, T. Kalmes, M. Nieß: On the behaviour of power series in the absence of Hadamard-Ostrowski gaps. In: Comptes Rendus Mathematique 351.2013, 255-259.
47. -, T. Pohlen: The Hadamard product on open sets in the extended plane. In: Complex Analysis and Operator Theory 6.2012, 257-274.
46. -, H.-P. Beise: Growth of (frequently) hypercyclic functions for differential operators. In: Studia Mathematica 207.2011, 97-115.
Link
45. -, I. Bruj: The concept of Faber derivative in saturation theory. In: Jaen Journal on Approximation 3.2011, 227-239.
44. -, P. Beise, T. Meyrath: Universality properties of Taylor series inside the domain of holomorphy. In: Journal of Mathematical Analysis and Applications 383.2011, 234-238.
43. -, I. Bruj: Classes of functions and matrix means of orthogonal series. In: Science.Education.Technology -2010: The Materials of the Third International Scientific Practical Conference,
October 21-22, 2010, Baranovichi, (Russian), 230-232 und 232-234.
42. Continuous functions with universally divergent Fourier series on small subsets of the circle. In: Comptes Rendus Mathematique 348.2010, 1155-1158.
Link
41. -, T. Pohlen: The Hadamard product as a universality preserving operator. In: Computational Methods and Function Theory 10.2010, 281-289.
40. -T. L. Gharibyan, W. Luh: A lacunary version of Mergelian’s approximation theorem. In: Journal of Approximation Theory 162.2010, 709-716.
39. -M. Nieß: Lacunary tangential approximation. In: Indagationes Mathematicae (N.S). 20.2009, 453-461.
38. -, L. Frerick, V. A. Martirosian: On the existence of lacunary power series analytically continuable and bounded outside sectors. In: Complex Variables and Elliptic Equations 54.2009, 669 -676.
37. -, V. Vlachou, A. Yavrian: Overconvergent series of rational functions and universal Laurent series. In: Journal d’Analyse Mathematique 104.2008, 235-245.
36. -, W. Gawronski, M. Reinhard: Reduced cancellation in the computation of entire functions and applications to the error function. In: SIAM Journal on Numerical Analysis 45.2007, 2564-2576.
35. -T. L. Gharibyan, W. Luh: Lacunary (R, p, M)-summability. In: Analysis 27.2007, 311-321.
34. -, N. Arakelian, W. Luh: On the localization of singularities of power series. In: Complex Variables and Elliptic Equations 52.2007, 561-573.
33. -, V. A. Martirosian: A Liouville type result for lacunary power series and converse results for universal holomorphic functions. In: Analysis 26.2006, 393-399.
32. -, S. Naik, S. Ponnusamy: Growth of entire functions of exponential type defined by convolution. In: Archiv der Mathematik 87.2006, 330
342.
31. -, V. Vlachou, A. Yavrian: Universal overconvergence and Ostrowskigaps. In: Bulletin of the London Mathematical Society 38.2006, 597
606.
30. -, W. Luh, S. Ponnusamy, P. Vasundhra: Polynomial series expansions for confluent and Gaussian hypergeometric functions. In: Mathematics of Computation 74.2005, 1937-1952.
29. -, D. Mayenberger: Faber series with Ostrowski-gaps. In: Complex Variables 50.2005, 79-88.
28. -, T. L. Gharibyan, W. Luh: Lacunary summability and analytic continuation of power series. In: Analysis 24.2004, 255-271.
27. -, M. C. Calderon-Moreno: Universal holomorphic and harmonic functions with additional properties. In: Acta Mathematica Hungarica 105.2004, 1-15.
26. -, L. Frerick: Polynomial approximation on compact sets bounded by Dini smooth arcs. In: Compuational Methods and Function Theory 3.2003, 273-284.
25. -, T. L. Gharibyan, W. Luh: Approximation by lacunary polynomials and applications to universal functions. In: Analysis 23.2003, 199-214.
24. An extended Faber operator. In: Constructive Approximation 19.2003,
S. 399-410.
23. -, L. Frerick, J. Wengenroth: Prescribed derivatives of holomorphic functions. In: Complex Variables 48.2003, S. 165-173.
22. -, W. Luh, V. A. Martirosian: Restricted T-universal functions on multiply connected domains. In: Acta Mathematica Hungarica 97.2002, S. 173-181.
21. -, A. Yavrian: On polynomial sequences with restricted growth near infinity. In: Bulletin of the London Mathematical Society 34.2002, S. 189-199.
20. -, W. Luh, V. A. Martirosian: Restricted T-universal functions. In: Journal of Approximation Theory 114.2002, S. 201-213.
19. Series expansions for computing Bessel functions of variable order on bounded intervals. In: Numerical Algorithms 24.2000, S. 299-308.
18. -, W. Gehlen, W. Luh: On the existence of O-universal functions. In: Complex Variables 41.2000, S.81-90.
17. Convergence acceleration of Taylor sections by convolution. In: Constructive Approximation 15.1999, S. 523-536.
16. -, W. Luh, V. A. Martirosian: T-universal functions with lacunary power series. In: Acta Scientiarum Mathematicarum 64.1998, S. 67
79.
15. -, W. Luh, V. A. Martirosian: Universal entire functions with gap power series. In: Indagationes Mathematicae (N.S.) 9.1998, S. 529-536.
14. -, J. Wengenroth: Separating singularities of holomorphic functions. In: Canadian Mathematical Bulletin 41.1998, S. 473-477.
13. -, L. Frerick: Infinite Taylor interpolation. In: Proceedings of the American Mathematical Society 125.1997, S. 3331-3337.
12. Accelerated polynomial approximation of finite order entire functions by growth reduction. In: Mathematics of Computation 66.1997, S. 743
761.
11. -, R. Brück:Closed ideals in a convolution algebra of holomorphic functions. In: Canadian Journal of Mathematics 47.1995, S. 915-928.
10. -, R. Brück, A. Sharma: Equisummability of certain sequences of Hadamard products of Taylor sections and interpolatory polynomials.
In: Methods and Applications of Analysis 1.1994, S. 270-283.
9. -, L. Frerick: Polynomial approximation and maximal convergence on Faber sets. In: Constructive Approximation 10.1994, S. 427-438.
8. -, R. Brück: Summability of Hadamard products of Taylor sections with polynomial interpolants. In: Journal of Approximation Theory 78.1994,
S. 30-40.
7. Coefficient multipliers from H(G1) into H(G2). In: Archiv der Mathematik 61.1993, S. 75-81.
6. On numerical analytic continuation and convergence acceleration by summability methods. In: Analysis 13.1993, S. 279-291.
5. Small domains of overconvergence of power series. In: Journal of Mathematical Analysis and Applications 172.1993, S. 500-507.
4. -, R. Brück: Invertible elements in a convolution algebra of holomorphic functions. In: Mathematische Annalen 294.1992, S. 421-438.
3. The Hadamard multiplication theorem and applications in summability theory. In: Complex Variables 18.1992, S. 155-166.
2. Approximation with lacunary polynomials in the complex plane. In: Approximation, interpolation and summability: In honor of Amnon Jakimovski on his 65th birthday.
Hrsg.: S. Baron. Ramat-Gan: Bar Ilan Univ. 1991. (Israel mathematical conference proceedings; 4). S. 217-224.
1. Über analytische Fortsetzung mit Matrixverfahren. In: Mitt. Math. Sem. Gießen 199.1990, S.1-90.
|
|
Mail an den Betreuer