scholarly journals On v-positive type transformations in infinite measure

2015 ◽  
Vol 140 (2) ◽  
pp. 149-170
Author(s):  
Tudor Pădurariu ◽  
Cesar E. Silva ◽  
Evangelie Zachos
2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  

Author(s):  
Eirik Berge

AbstractWe investigate the wavelet spaces $$\mathcal {W}_{g}(\mathcal {H}_{\pi })\subset L^{2}(G)$$ W g ( H π ) ⊂ L 2 ( G ) arising from square integrable representations $$\pi :G \rightarrow \mathcal {U}(\mathcal {H}_{\pi })$$ π : G → U ( H π ) of a locally compact group G. We show that the wavelet spaces are rigid in the sense that non-trivial intersection between them imposes strong restrictions. Moreover, we use this to derive consequences for wavelet transforms related to convexity and functions of positive type. Motivated by the reproducing kernel Hilbert space structure of wavelet spaces we examine an interpolation problem. In the setting of time–frequency analysis, this problem turns out to be equivalent to the HRT-conjecture. Finally, we consider the problem of whether all the wavelet spaces $$\mathcal {W}_{g}(\mathcal {H}_{\pi })$$ W g ( H π ) of a locally compact group G collectively exhaust the ambient space $$L^{2}(G)$$ L 2 ( G ) . We show that the answer is affirmative for compact groups, while negative for the reduced Heisenberg group.


2003 ◽  
Vol 285 (4) ◽  
pp. L957-L963 ◽  
Author(s):  
Hiroshi Ishii ◽  
Hiroshi Mukae ◽  
Tomoyuki Kakugawa ◽  
Tetsuji Iwashita ◽  
Hideyuki Kaida ◽  
...  

The 47-kDa heat shock protein 47 (HSP47) is a collagen-specific molecular chaperone that has been shown to play a major role during the processing and/or secretion of procollagen. Expression of HSP47 has been reported to increase in parallel with expression of collagens during the progression of various fibrosis models. The aim of the present study was to investigate the association between HSP47 expression and collagen accumulation in bleomycin (BLM)-induced murine fibrosis. We investigated the expression of HSP47 protein and mRNA using immunohistochemical analysis and semi-quantitative RT-PCR in murine BLM-induced pulmonary fibrosis. Immunohistochemical analysis showed that higher expression of HSP47 protein was present in BLM-induced pulmonary fibrosis compared with controls. HSP47 was localized predominantly in α-smooth muscle actin-positive myofibroblasts, F4/80 negative, surfactant protein-A-positive type II pneumocytes, and F4/80-positive macrophages. RT-PCR also demonstrated an increase of HSP47 mRNA expression in BLM-treated lungs. Moreover, the relative amounts of HSP47 mRNA correlated significantly with the lung hydroxyproline content as an indicator of pulmonary fibrosis in BLM-treated lungs ( r = 0.406, P <0.05). Our results suggest that these cells may play a role in the fibrotic process of BLM-treated lungs through upregulation of HSP47.


2006 ◽  
Vol 38 (8) ◽  
pp. 827-834 ◽  
Author(s):  
Jijun Xiao ◽  
Yosuke Inai ◽  
Li Li ◽  
Teruaki Hayakawa ◽  
Masa-aki Kakimoto

Author(s):  
Basma Haris ◽  
Ahmed Abdellatief ◽  
Houda Afyouni ◽  
Tasneem Abdel-Karim ◽  
Shayma Mohammed ◽  
...  

Abstract Objectives Children with antibody positive type 1 diabetes mellitus (type 1 diabetes) are at an increased risk of developing celiac disease (CD) which suggests a common autoimmune basis with both high-risk human lymphocyte antigen (HLA) and non-HLA factors playing a role in the pathophysiology. We aim to describe the prevalence, immune profile, and clinical characteristics of children with CD who have type 1 diabetes mellitus in Qatar. Methods All children (aged 0–18 years) attending a regional diabetes clinic with antibody positive type 1 diabetes were screened for CD. Measurement of tissue transglutaminase IgA and IgG as well as anti-endomysial antibody, was done, clinical details about the birth history, family history of diabetes and CD, age of onset, and ethnicity were collected. Results Out of the 1,325 children with antibody positive type 1 diabetes, 54 were identified to have CD on screening and then confirmed on small bowel biopsy. The prevalence of CD in the type 1 diabetes childhood population in Qatar is 4.07%. CD and type 1 diabetes were more prevalent in the Qatari children (n=32) as compared to non-Qatari (n=22) and occurred mostly in the age group 6–10 years. The most common type 1 diabetes antibodies in children with CD were glutamic acid decarboxylase and insulin autoantibody. Twelve subjects were asymptomatic for CD symptoms and picked up only on screening. Conclusions The prevalence of CD in children with type 1 diabetes in Qatar is comparable to reports from around the world. Many children were asymptomatic and thus routine screening is recommended.


2020 ◽  
pp. 1-5

The patient was a 60-year-old woman who had visited a clinic with the chief complaint of a mass in the right breast prior to being referred to our hospital. Breast examination revealed the presence of a 3-cm hard elastic mass in the C region of the right breast. Computed tomography (CT) further indicated metastases to the liver and lungs. Upon needle biopsy of the primary tumor, the patient was diagnosed with triple-negative (ER (-), PgR (-), HER2 (-)) invasive lobular carcinoma. Chemotherapy was successful in achieving a transient partial response (PR); however, the tumor later advanced to a progressive disease (PD) after five cycles of oral fluoropyrimidine derivative therapy (S-1). Re-biopsy of the primary tumor revealed that the tumor was triple-positive (ER (+), PgR (+), HER2 (+)). The patient was subsequently treated with anti-HER2 therapy and has since achieved complete response (CR). Although biological changes sometimes occur from the primary to the metastatic tumor, changes in the primary tumor itself during the course of treatment is a rare event. Furthermore, the transition from triple-negative to triple-positive status is very uncommon. Re-biopsy rarely changes the biological characteristics of a tumor; however, biological changes can have a significant impact on treatment if they do occur. Thus, it is important to perform a re-biopsy if the current treatment results in PD.


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