DILATIONS

作品数:11被引量:22H指数:2
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相关领域:理学医药卫生更多>>
相关期刊:《World Journal of Gastroenterology》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Acta Mathematica Sinica,English Series》更多>>
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On Unitary N-Dilations for Tuples of Circulant Contractions and von Neumann’s Inequality
《American Journal of Computational Mathematics》2023年第4期594-606,共13页Joachim Moussounda Mouanda Edwige Josette Maleka Koubemba Djagwa Dehainsala 
We introduce the spectral mapping factorization of tuples of circulant matrices and its matrix version. We prove that every tuple of circulant contractions has a unitary N-dilation. We show that von Neumann’s inequal...
关键词:DILATIONS POLYNOMIALS Matrices 
Structural Properties of Homomorphism Dilation Systems被引量:1
《Chinese Annals of Mathematics,Series B》2020年第4期585-600,共16页Deguang HAN David R.LARSON Bei LIU Rui LIU 
the National Science Foundation(Nos.DMS-1403400,DMS-1712602);the National Natural Science Foundation of China(No.11671214);the Young Academia Leaders Program of Nankai University。
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded homomorphism dilations for bounded linear maps on Banach algebras,the authors ...
关键词:Linear systems Linearly minimal homomorphism dilation systems Principle and universal dilations Equivalent dilation systems 
Technetium-99m-labeled macroaggregated albumin lung perfusion scan for diagnosis of hepatopulmonary syndrome: A prospective study comparing brain uptake and whole-body uptake被引量:3
《World Journal of Gastroenterology》2020年第10期1088-1097,共10页He Zhao Jiaywei Tsauo Xiao-Wu Zhang Huai-Yuan Ma Ning-Na Weng Gong-Shun Tang Xiao Li 
Supported by National Key R and D Program of China,No.2017YFC0107800;CAMS Initiative for Innovative Medicine,No.2016-12M-2-004
BACKGROUND Hepatopulmonary syndrome (HPS) is an arterial oxygenation defect induced by intrapulmonary vascular dilatation (IPVD) in the setting of liver disease and/or portal hypertension.This syndrome occurs most oft...
关键词:Portal hypertension Intrapulmonary vascular dilations Radionuclide imaging Technetium-99m-labeled macroaggregated albumin lung perfusion scan Diagnostic tests Sensitivity and specificity 
Joint Similarities and Parameterizations for Dilations of Dual g-frame Pairs in Hilbert Spaces
《Acta Mathematica Sinica,English Series》2019年第11期1827-1840,共14页Xun Xiang GUO 
In this paper, we give an operator parameterization for the set of dilations of a given pair of dual g-frames and the set of dilations of pairs of dual g-frames of a given g-frame. In particular,for the dilations of a...
关键词:G-FRAME DUAL G-FRAME pair dilation g-Riesz basis JOINT similarity 
Similarity and Parameterizations of Dilations of Pairs of Dual Group Frames in Hilbert Spaces
《Acta Mathematica Sinica,English Series》2017年第12期1671-1683,共13页Xun Xiang GUO 
In this paper, firstly, in order to establish our main techniques we give a direct proof for the existence of the dilations for pairs of dual group frames. Then we focus on proving the uniqueness of such dilations in ...
关键词:Group frame group Riesz basis DILATION dual group frame 
A Sort of Gray-scale Morphological Dilations and Erosions被引量:2
《Chinese Quarterly Journal of Mathematics》2017年第2期181-186,共6页GUO Yan-yan GUO Qi 
Supported by the National Natural Science Foundation of China(11671293, 11271282)
We introduce first a sort of gray-scale morphological dilations and erosions, which might have some further applications in image analysis. Then we show that the dilation and the erosion defined here form adjunctive p...
关键词:gray-scale dilation gray-scale erosion mathematical morphologyi adjunction duality 
A characterization of generator for multiresolution analysis with composite dilations
《Applied Mathematics(A Journal of Chinese Universities)》2014年第3期317-328,共12页SHI Xian-liang CHEN Jie 
Supported by the National Natural Science Foundation of China(11071065,11171306)
In this paper, we will introduce multiresolution analysis with composite dilations and give a characterization of generator for multiresolution analysis with composite dilations.
关键词:MRA GENERATOR Riesz basis composite dilation characterization. 
Current status in the treatment options for esophageal achalasia被引量:15
《World Journal of Gastroenterology》2013年第33期5421-5429,共9页Seng-Kee Chuah Chien-Hua Chiu Wei-Chen Tai Jyong-Hong Lee Hung-I Lu Chi-Sin Changchien Ping-Huei Tseng Keng-Liang Wu 
Recent advances in the treatment of achalasia include the use of high-resolution manometry to predict the outcome of patients and the introduction of peroral endoscopic myotomy(POEM).The first multicenter randomized,c...
关键词:Esophageal ACHALASIA ENDOSCOPIC pneumatic DILATIONS BOTULINUM injection Peroral ENDOSCOPIC MYOTOMY Minimally invasive HELLER MYOTOMY 
Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces
《Acta Mathematica Sinica,English Series》2013年第7期1231-1244,共14页Feng LIU Huo Xiong WU 
Supported by National Natural Science Foundation of China (Grant No. 11071200);Natural Science Foundation of Fujian Province (Grant No. 2010J01013)
In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n(m, n ≥ 2) are studied. The LP-boundedness for such operators are established under rather weak size conditions of the k...
关键词:Marcinkiewicz integrals non-isotropic dilations maximal functions rough kernels product spaces 
Homogeneous Approximation Property for Wavelet Frames with Matrix Dilations,Ⅱ被引量:1
《Acta Mathematica Sinica,English Series》2013年第1期183-192,共10页Zhi Jing ZHAO Wen Chang SUN 
Supported partially by National Natural Science Foundation of China(Grant Nos.10971105and10990012);Natural Science Foundation of Tianjin(Grant No.09JCYBJC01000)
The homogeneous approximation property (HAP) states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we ...
关键词:Wavelet frames homogeneous approximation property HAP matrix dilations 
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