scholarly journals On the Kobayashi hyperbolicity of tube domains in C2

2016 ◽  
Vol 434 (1) ◽  
pp. 1007-1010 ◽  
Author(s):  
Alexander Isaev
Keyword(s):  
Kobayashi Hyperbolicity ◽  
Tube Domains

scholarly journals On the Kobayashi hyperbolicity of certain tube domains

2013 ◽  
Vol 141 (9) ◽  
pp. 3141-3146 ◽  
Author(s):  
Alan Huckleberry ◽  
Alexander Isaev
Keyword(s):  
Kobayashi Hyperbolicity ◽  
Tube Domains

Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones

2016 ◽  
Vol 7 (2) ◽  
Author(s):  
Hideto Nakashima
Keyword(s):  
Sufficient Conditions ◽  
Rational Functions ◽  
Necessary And Sufficient Conditions ◽  
The Other ◽  
Symmetric Cones ◽  
The Real ◽  
Tube Domains ◽  
Homogeneous Cone ◽  
Necessary And Sufficient ◽  
Relative Invariants

AbstractIn this paper, we give necessary and sufficient conditions for a homogeneous cone Ω to be symmetric in two ways. One is by using the multiplier matrix of Ω, and the other is in terms of the basic relative invariants of Ω. In the latter approach, we need to show that the real parts of certain meromorphic rational functions obtained by the basic relative invariants are always positive on the tube domains over Ω. This is a generalization of a result of Ishi and Nomura [Math. Z. 259 (2008), 604–674].

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