Universal functions with prescribed zeros and interpolation properties
Luis Bernal-González, Antonio Bonilla, and Markus Nieß
Source: Michigan Math. J. Volume 58, Issue 3
(2009), 627-638.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.mmj/1260475693
Digital Object Identifier: doi:10.1307/mmj/1260475693
Mathematical Reviews number (MathSciNet): MR2595557
Zentralblatt MATH identifier: 1198.30036
References
L. Bernal-González, On universal entire functions with zero-free derivatives, Arch. Math. (Basel) 68 (1997), 145--150.
Mathematical Reviews (MathSciNet): MR1425505
Zentralblatt MATH: 0865.30041
Digital Object Identifier: doi:10.1007/s000130050043
------, Hypercyclic sequences of differential and antidifferential operators, J. Approx. Theory 96 (1999), 323--337.
Mathematical Reviews (MathSciNet): MR1671201
Zentralblatt MATH: 0957.47009
Digital Object Identifier: doi:10.1006/jath.1998.3237
------, Interpolation by hypercyclic functions for differential operators, J. Approx. Theory 157 (2009), 134--143.
Mathematical Reviews (MathSciNet): MR2510923
Zentralblatt MATH: 1182.41002
Digital Object Identifier: doi:10.1016/j.jat.2008.07.003
L. Bernal-González, A. Bonilla, M. C. Calderón, and J. A. Prado-Bassas, Maximal cluster sets of $L$-analytic functions on arbitrary curves, Constr. Approx. 25 (2007), 211--219.
Mathematical Reviews (MathSciNet): MR2283498
Digital Object Identifier: doi:10.1007/s00365-006-0636-5
J. B. Conway, Functions of one complex variable, Grad. Texts in Math. 11, Springer-Verlag, New York, 1973.
Mathematical Reviews (MathSciNet): MR447532
G. Costakis, Zeros and interpolation by universal Taylor series on simply connected domains, Math. Proc. Cambridge Philos. Soc. 139 (2005), 149--159.
Mathematical Reviews (MathSciNet): MR2155509
Zentralblatt MATH: 1080.30004
Digital Object Identifier: doi:10.1017/S0305004105008406
G. Costakis and V. Vlachou, Interpolation by universal-hypercyclic functions, preprint.
G. Godefroy and J. H. Shapiro, Operators with dense, invariant, cyclic vector manifolds, J. Funct. Anal. 98 (1991), 229--269.
Mathematical Reviews (MathSciNet): MR1111569
Zentralblatt MATH: 0732.47016
Digital Object Identifier: doi:10.1016/0022-1236(91)90078-J
S. Grivaux, Hypercyclic operators, mixing operators, and the bounded steps problem, J. Operator Theory 54 (2005), 147--168.
Mathematical Reviews (MathSciNet): MR2168865
Zentralblatt MATH: 1104.47010
K.-G. Grosse-Erdmann, Universal families and hypercyclic operators, Bull. Amer. Math. Soc. (N.S.) 36 (1999), 345--381.
Mathematical Reviews (MathSciNet): MR1685272
Digital Object Identifier: doi:10.1090/S0273-0979-99-00788-0
------, Construction vs. Baire category in universality, preprint.
G. Herzog, On zero-free universal entire functions, Arch. Math. (Basel) 63 (1994), 329--332.
Mathematical Reviews (MathSciNet): MR1290607
Zentralblatt MATH: 0807.30014
Digital Object Identifier: doi:10.1007/BF01189569
S. Kolyada and L. Snoha, Some aspects of topological transitivity---A survey, Iteration theory (Opava, 1994), Grazer Math. Ber., 334, pp. 3--35, Karl-Franzens-Univ. Graz, Graz, 1997.
Mathematical Reviews (MathSciNet): MR1644768
Zentralblatt MATH: 0907.54036
G. R. MacLane, Sequences of derivatives and normal families, J. Anal. Math. 2 (1952), 72--87.
Mathematical Reviews (MathSciNet): MR53231
Zentralblatt MATH: 0049.05603
Digital Object Identifier: doi:10.1007/BF02786968
M. Nieß, MacLane functions with prescribed zeros and interpolation properties, Analysis (Munich) 27 (2007), 323--332.
Mathematical Reviews (MathSciNet): MR2359941
Digital Object Identifier: doi:10.1524/anly.2007.27.2-3.323
------, Generic approach to multiply universal functions, Complex Var. Elliptic Equ. 53 (2008), 819--831.
Mathematical Reviews (MathSciNet): MR2441887
Digital Object Identifier: doi:10.1080/17476930802130523
J. C. Oxtoby, Measure and category, Grad. Texts in Math., 2, Springer-Verlag, New York, 1980.
Mathematical Reviews (MathSciNet): MR584443
W. Rudin, Real and complex analysis, McGraw-Hill, New York, 1987.
Mathematical Reviews (MathSciNet): MR924157
J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloq. Publ., 20, Amer. Math. Soc., Providence, RI, 1965.
Mathematical Reviews (MathSciNet): MR218588
The Michigan Mathematical Journal
