scholarly journals On the zero set of the Kobayashi–Royden pseudometric of the spectral unit ball

2008 ◽  
Vol 93 (1) ◽  
pp. 53-68
Author(s):  
Nikolai Nikolov ◽  
Pascal J. Thomas
Keyword(s):  
Unit Ball ◽  
Zero Set ◽  
Spectral Unit Ball

Holomorphic Self-Maps of the Spectral unit Ball

1991 ◽  
Vol 23 (3) ◽  
pp. 256-262 ◽  
Author(s):  
T. J. Ransford ◽  
M. C. White
Keyword(s):  
Unit Ball ◽  
Spectral Unit Ball

scholarly journals A local form for the automorphisms of the spectral unit ball

2008 ◽  
Vol 59 (3) ◽  
pp. 321-324 ◽  
Author(s):  
Pascal J. Thomas
Keyword(s):  
Unit Ball ◽  
Local Form ◽  
Spectral Unit Ball

scholarly journals On the automorphisms of the spectral unit ball

2003 ◽  
Vol 155 (3) ◽  
pp. 207-230 ◽  
Author(s):  
Jérémie Rostand
Keyword(s):  
Unit Ball ◽  
Spectral Unit Ball

scholarly journals Certain non-homogeneous matricial domains and Pick–Nevanlinna interpolation problem

2021 ◽  
pp. 2150083
Author(s):  
Vikramjeet Singh Chandel
Keyword(s):  
Automorphism Group ◽  
Unit Ball ◽  
Complex Plane ◽  
Unit Disc ◽  
Interpolation Problem ◽  
Necessary Conditions ◽  
Holomorphic Automorphism ◽  
Spectral Unit Ball ◽  
Holomorphic Automorphism Group

In this paper, we consider certain matricial domains that are naturally associated to a given domain of the complex plane. A particular example of such domains is the spectral unit ball. We present several results for these matricial domains. Our first result shows — generalizing a result of Ransford–White for the spectral unit ball — that the holomorphic automorphism group of these matricial domains does not act transitively. We also consider [Formula: see text]-point and [Formula: see text]-point Pick–Nevanlinna interpolation problem from the unit disc to these matricial domains. We present results providing necessary conditions for the existence of a holomorphic interpolant for these problems. In particular, we shall observe that these results are generalizations of the results provided by Bharali and Chandel related to these problems.

Functions in the Schwartz algebra that are invertible in the sense of Ehrenpreis

2019 ◽  
Vol 484 (1) ◽  
pp. 7-11
Author(s):  
N. F. Abuzyarova
Keyword(s):  
Entire Function ◽  
Exponential Type ◽  
Zero Set ◽  
Schwartz Algebra

We consider the problem of obtaining the restrictions on the zero set of an entire function of exponential type under which this function belongs to the Schwartz algebra and invertible in the sense of Ehrenpreis.

Sign in / Sign up

Export Citation Format

Share Document