One-component inner functions

被引：0

作者：

Cima J. ^{[1
]}

Mortini R. ^{[2
]}

机构：

[1] Department of Mathematics, UNC, Chapel Hill, NC

[2] Département de Mathématiques et Institut Élie Cartan de Lorraine, Université de Lorraine, UMR 7502, Ile du Saulcy, Metz

来源：

Complex Analysis and its Synergies | / 3卷 / 1期

关键词：

Connected components; Inner functions; Interpolating Blaschke products; Level sets;

D O I：

10.1186/s40627-016-0008-8

中图分类号：

学科分类号：

摘要：

We explicitly unveil several classes of inner functions u in H∞ with the property that there is η∈] 0 , 1 [such that the level set Ω u(η) : = { z∈ D: | u(z) | < η} is connected. These so-called one-component inner functions play an important role in operator theory. © 2017, The Author(s).

引用

共 50 条

[1] REMARKS ON ONE-COMPONENT INNER FUNCTIONS
Reijonen, Atte
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 569 - 580
[2] A characterization of one-component inner functions
Nicolau, Artur
Reijonen, Atte
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2021, 53 (01) : 42 - 52
[3] Master crossover functions for one-component fluids
Garrabos, Yves
Lecoutre, Carole
Palencia, Fabien
Le Neindre, Bernard
Erkey, Can
PHYSICAL REVIEW E, 2008, 77 (02):
[4] Bridge functions of classical one-component plasmas
Castello, F. Lucco
Tolias, P.
PHYSICAL REVIEW E, 2022, 105 (01)
[5] The fundamental functions of one-component ideal-constituent gases
Bell, JM
Trevor, JE
JOURNAL OF PHYSICAL CHEMISTRY, 1905, 9 (03): : 179 - 209
[6] One-component nanomedicine
Su, Hao
Koo, Jin Mo
Cui, Honggang
JOURNAL OF CONTROLLED RELEASE, 2015, 219 : 383 - 395
[7] One-component nanomedicine
Lin, Ran
Su, Hao
Zhang, Pengcheng
Cui, Honggang
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2016, 251
[8] One-component oscillator
Gascoyne, P
ELECTRONICS WORLD, 1997, 103 (1734): : 498 - 498
[9] Testing the isomorph invariance of the bridge functions of Yukawa one-component plasmas
Castello, F. Lucco
Tolias, P.
Dyre, J. C.
JOURNAL OF CHEMICAL PHYSICS, 2021, 154 (03):
[10] A one-component Dirac equation
DeLeo, S
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (21): : 3973 - 3985

← 1 2 3 4 5 →