Function theory on the Neil parabola
Greg Knese
Source: Michigan Math. J. Volume 55, Issue 1 (2007), 139-154.
Primary Subjects: 32F45, 30E05, 32C15
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/1177681989
Digital Object Identifier: doi:10.1307/mmj/1177681989
Mathematical Reviews number (MathSciNet):
MR2320176
References
J. Agler and J. E. M\raise1.8625ptcCarthy, Pick interpolation and Hilbert function spaces, Grad. Stud. Math., 44, Amer. Math. Soc., Providence, RI, 2002.
Mathematical Reviews (MathSciNet):
MR1882259
Zentralblatt MATH:
1010.47001
------, Norm preserving extensions of holomorphic functions from subvarieties of the bidisk, Ann. of Math. (2) 157 (2003), 289--312.
Mathematical Reviews (MathSciNet):
MR1954268
Project Euclid: euclid.annm/1044909499
C. Carathéodory and L. Fejér, Über den Zusammenhang der Extremen von harmonischen Funktionen mit ihren Koeffizienten und über den Picard--Landauschen Satz, Rend. Circ. Mat. Palermo 32 (1911), 218--239.
C. Foiaędillas and A. E. Frazho, The commutant lifting approach to interpolation problems, Oper. Theory: Adv. Appl., 44, Birkhäuser, Basel, 1990.
Mathematical Reviews (MathSciNet):
MR1120546
Zentralblatt MATH:
0718.47010
R. Gunning, Introduction to holomorphic functions of several variables, vol. II, Wadsworth, Monterey, CA, 1990.
Mathematical Reviews (MathSciNet):
MR1057177
------, Introduction to holomorphic functions of several variables, vol. III, Wadsworth, Monterey, CA, 1990.
Zentralblatt MATH:
0699.32001
A. Isaev and S. Krantz, Invariant distances and metrics in complex analysis, Notices Amer. Math. Soc. 47 (2000), 546--553.
Mathematical Reviews (MathSciNet):
MR1750665
M. Jarnicki and P. Pflug, Invariant distances and metrics in complex analysis, de Gruyter Exp. Math., 9, de Gruyter, Berlin, 1993.
Mathematical Reviews (MathSciNet):
MR1242120
Zentralblatt MATH:
0789.32001
------, Invariant distances and metrics in complex analysis---Revisited, Dissertationes Math. 430 (2005), 1--192.
Mathematical Reviews (MathSciNet):
MR2167637
S. Kobayashi, Hyperbolic complex spaces, Grundlehren Math. Wiss., 318, Springer-Verlag, Berlin, 1998.
Mathematical Reviews (MathSciNet):
MR1635983
Zentralblatt MATH:
0917.32019
L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), 427--474.
Mathematical Reviews (MathSciNet):
MR660145
R. Nevanlinna, Über beschränkte Funktionen, Ann. Acad. Sci. Fenn. Ser. A 13 (1919), no. 1.
G. Pick, Über die Beschränkungen analytischer Funktionen, welche durch vorgegebene Funktionswerte bewirkt werden, Math. Ann. 77 (1916), 7--23.
Mathematical Reviews (MathSciNet):
MR1511844
Digital Object Identifier: doi:10.1007/BF01456817
P. L. Polyakov and G. M. Khenkin, Integral formulas for the $\bar\partial$-equation and an interpolation problem in analytic polyhedra, Trans. Moscow Math. Soc. 53 (1991), 135--175.
Mathematical Reviews (MathSciNet):
MR1097995
J. Wallis, Arithmetica infinitorum, 1655.
The Michigan Mathematical Journal