scholarly journals Proper holomorphic polynomial maps between bounded symmetric domains of classical type

2015 ◽  
Vol 144 (2) ◽  
pp. 739-751
Author(s):  
Aeryeong Seo
Keyword(s):  
Classical Type ◽  
Bounded Symmetric Domains ◽  
Polynomial Maps

scholarly journals On Canonical Realizations of Bounded Symmetric Domains as Matrix-Spaces

1971 ◽  
Vol 42 ◽  
pp. 115-133 ◽  
Author(s):  
Mikio Ise
Keyword(s):  
Direct Application ◽  
Classical Type ◽  
Type I ◽  
Bounded Symmetric Domains ◽  
Special Cases ◽  
Matrix Spaces ◽  
Classification Table ◽  
Natural Method

It is the purpose of the present paper to give a natural method of realizing bounded symmetric domains as matrix-spaces. Our method yields, as special cases, the well-known bounded models of irreducible bounded symmetric domains of classical type (I)-(IV), as were already described in the original paper of E. Cartan [1] (see §3; we follow in this paper the classification table in [14], not in [1]). A direct application of this method will be to determine the canonical bounded models of the irreducible bounded symmetric domains of exceptional type; it will be published in another paper (see [6], [7] for the summary of the results).

Ont he monodromy representation of polynomial maps in n variables

2002 ◽  
Vol 39 (3-4) ◽  
pp. 361-367
Author(s):  
A. Némethi ◽  
I. Sigray
Keyword(s):  
Cohomology Group ◽  
Jacobian Conjecture ◽  
Natural Basis ◽  
Generic Fiber ◽  
Monodromy Representation ◽  
Polynomial Maps ◽  
Polynomial Map

For a   non-constant polynomial map f: Cn?Cn-1 we consider the monodromy representation on the cohomology group of its generic fiber. The main result of the paper determines its dimension and provides a natural basis for it. This generalizes the corresponding results of [2] or [10], where the case n=2 is solved. As  applications,  we verify the Jacobian conjecture for (f,g) when the generic fiber of f is either rational or elliptic. These are generalizations of the corresponding results of [5], [7], [8], [11] and [12], where the case  n=2 is treated.

Dynamics of the morphometric indices of the subretinal neovascular membranes of the classical type after photodynamic therapy

2009 ◽  
Vol 4 (20) ◽  
pp. 5-7
Author(s):  
N. Pasechnikova ◽  
◽  
V. Naumenko ◽  
A. Korol ◽  
O. Zadorozhnyy ◽  
...  
Keyword(s):  
Photodynamic Therapy ◽  
Classical Type

A form of Autoimmune Diabetes in Adults Named LADA – An Update on Essential Features and Controversies

2019 ◽  
Vol 15 (3) ◽  
pp. 172-173 ◽  
Author(s):  
Valdemar Grill ◽  
Bjørn O. Åsvold
Keyword(s):  
Genetic Background ◽  
Clinical Utility ◽  
Autoimmune Diabetes ◽  
Classical Type ◽  
Phenotypic Characteristics ◽  
Latent Autoimmune Diabetes ◽  
The Impact

Latent Autoimmune Diabetes in the Adult, LADA has been investigated less than “classical” type 1 and type 2 diabetes and the criteria for and the relevance of a LADA diagnosis has been challenged. Despite the absence of a genetic background that is exclusive to LADA, this form of diabetes displays phenotypic characteristics that distinguish it from other forms of diabetes. LADA is heterogeneous in terms of the impact of autoimmunity and lifestyle factors, something that poses problems as to therapy and follow-up perhaps particularly in those with marginal positivity. Yet, there appears to be clear clinical utility in classifying individuals as LADA.

Neonatal maple syrup urine disease in China: two novel mutations in the BCKDHB gene and literature review

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Hong‐Hua Jiang ◽  
Yan Guo ◽  
Xian Shen ◽  
Ying Wang ◽  
Ting-Ting Dai ◽  
...  
Keyword(s):  
Maple Syrup Urine Disease ◽  
Chinese Literature ◽  
Brain Mri ◽  
Classical Type ◽  
Novel Mutations ◽  
Maple Syrup ◽  
Gene Testing ◽  
Urine Disease ◽  
Bckdhb Gene ◽  
Branched Chain

Abstract Objectives To report two novel mutations in the BCKDHB gene with Maple syrup urine disease (MSUD) and compare their data with 52 cases of MSUD reported in the available Chinese literature. Methods Clinical data of a case of a newborn with MSUD was retrospectively studied. Literatures on MSUD in the local medical journals from January 1990 till December 2019 in China were reviewed. Results Two novel BCKDHB mutations c.90_91insCTGGCGCGGGG (p.Phe35TrpfsTer41) and c.80_90del (p.Ala32PhefsTer48) were identified. We found a total of 52 cases of MSUD reports so far. A total of 49 cases had the symptom of poor feeding (94.2%), 50 cases showed poor responses to stimulation (96.2%), 21 cases had odor of maple syrup (40.3%), 29 cases had seizures (55.7%), and 13 cases had respiratory failure (25.0%). The average of the blood ammonia was 127.2 ± 75.0 μmol/L. A total of 18 cases reported the gene testing, among of them 9 cases of BCKDHA mutations, 6 cases of BCKDHB mutations, and 2 cases of DBT mutations. A total of 13 cases (25%) were treated with mechanical ventilation, 50 cases (96.2%) with protein-restricted diet and l-carnitine, 29 cases with thiamine, and only 2 cases were treated with blood purification. Finally, 19 patients (36.5%) were died, 21 cases (40.4%) were improved after treatments. Conclusions The clinical phenotype of neonatal MSUD in China belongs to the classical type currently. Suspected patients should have blood or urine branched-chain amino acid levels tested and brain MRI as early as possible to enable early diagnosis, thus improvement in prognosis.

scholarly journals Eigenvalues of K-invariant Toeplitz Operators on Bounded Symmetric Domains

2021 ◽  
Vol 93 (3) ◽  
Author(s):  
Harald Upmeier
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Bounded Symmetric Domains

AbstractWe determine the eigenvalues of certain “fundamental” K-invariant Toeplitz type operators on weighted Bergman spaces over bounded symmetric domains $$D=G/K,$$ D = G / K , for the irreducible K-types indexed by all partitions of length $$r={\mathrm {rank}}(D)$$ r = rank ( D ) .

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