On the Range of the Attenuated Ray Transform for Unitary Connections
Paternain, G. P., Salo, M., & Uhlmann, G. (2015). On the Range of the Attenuated Ray Transform for Unitary Connections. International Mathematics Research Notices, 2015(4), 873-897. https://doi.org/10.1093/imrn/rnt228
Julkaistu sarjassa
International Mathematics Research NoticesPäivämäärä
2015Tekijänoikeudet
© The Author(s) 2013. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher.
We describe the range of the attenuated ray transform of a unitary
connection on a simple surface acting on functions and 1-forms. We use this description
to determine the range of the ray transform acting on symmetric tensor
fields.
Julkaisija
Oxford University PressISSN Hae Julkaisufoorumista
1073-7928Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/24748505
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
The X-Ray Transform for Connections in Negative Curvature
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther (Springer Berlin Heidelberg, 2016)We consider integral geometry inverse problems for unitary connections and skew-Hermitian Higgs fields on manifolds with negative sectional curvature. The results apply to manifolds in any dimension, with or without ... -
Attenuated beta rebound to proprioceptive afferent feedback in Parkinson’s disease
Vinding, Mikkel C.; Tsitsi, Panagiota; Piitulainen, Harri; Waldthaler, Josefine; Jousmäki, Veikko; Ingvar, Martin; Svenningsson, Per; Lundqvist, Daniel (Nature Publishing Group, 2019)Motor symptoms are defining traits in the diagnosis of Parkinson’s disease (PD). A crucial component in motor function is the integration of afferent proprioceptive sensory feedback. Previous studies have indicated abnormal ... -
Human Brain Ages With Hierarchy-Selective Attenuation of Prediction Errors
Hsu, Yi-Fang; Waszak, Florian; Strömmer, Juho; Hämäläinen, Jarmo A. (Oxford University Press, 2021)From the perspective of predictive coding, our brain embodies a hierarchical generative model to realize perception, which proactively predicts the statistical structure of sensory inputs. How are these predictive processes ... -
Longitudinal evidence for attenuated local-global deviance detection as a precursor of working memory decline
Hsu, Yi-Fang; Tu, Chia-An; Bekinschtein, Tristan A.; Hämäläinen, Jarmo A. (Society for Neuroscience, 2023)From the perspective of predictive coding, normal aging is accompanied by decreased weighting of sensory inputs and increased reliance on predictions, resulting in the attenuation of prediction errors in older age. Recent ... -
Systemic Blockade of ACVR2B Ligands Attenuates Muscle Wasting in Ischemic Heart Failure Without Compromising Cardiac Function
Szabó, Zoltán; Vainio, Laura; Lin, Ruizhu; Swan, Julia; Hulmi, Juha J.; Rahtu-Korpela, Lea; Serpi, Raisa; Laitinen, Mika; Pasternack, Arja; Ritvos, Olli; Kerkelä, Risto; Magga, Johanna (John Wiley & Sons; Federation of American Societies for Experimental Biology, 2020)Signaling through activin receptors regulates skeletal muscle mass and activin receptor 2B (ACVR2B) ligands are also suggested to participate in myocardial infarction (MI) pathology in the heart. In this study, we determined ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.