Some gap power series in multidimensional setting
Annales UMCS, Mathematica (2011)
- Volume: 65, Issue: 2, page 179-190
- ISSN: 2083-7402
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topJózef Siciak. "Some gap power series in multidimensional setting." Annales UMCS, Mathematica 65.2 (2011): 179-190. <http://eudml.org/doc/268217>.
@article{JózefSiciak2011,
abstract = {We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.},
author = {Józef Siciak},
journal = {Annales UMCS, Mathematica},
keywords = {Plurisubharmonic functions; negligible sets in CN; power series; lacunary power series; multiple power series; plurisubharmonic functions},
language = {eng},
number = {2},
pages = {179-190},
title = {Some gap power series in multidimensional setting},
url = {http://eudml.org/doc/268217},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Józef Siciak
TI - Some gap power series in multidimensional setting
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 2
SP - 179
EP - 190
AB - We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
LA - eng
KW - Plurisubharmonic functions; negligible sets in CN; power series; lacunary power series; multiple power series; plurisubharmonic functions
UR - http://eudml.org/doc/268217
ER -
References
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- Klimek, M., Pluripotential Theory, Oxford University Press, New York, 1991.
- Luh, W., Universal approximation properties of convergent power series on open sets, Analysis 6 (1986), 191-207. Zbl0589.30003
- Saint Raymond, J., Transformations séparément analytiques, Ann. Inst. Fourier (Grenoble) 40 (1990), 79-101. Zbl0682.26009
- Siciak, J., Generalizations of a theorem of Fatou, Zeszyty Naukowe UJ 11 (1966), 81-84. Zbl0271.32002
- Siciak, J., Sets in CN with vanishing global extremal function and polynomial approximation, Ann. Fac. Sci. Toulouse 20 (2011), no. S2, 189-209. Zbl1229.32003
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