Zobrazeno 1 - 10
of 241
pro vyhledávání: '"Jathar P"'
In this article, we establish that any symmetric $m$-tensor field can be recovered pointwise from partial data of the $k$-th weighted divergent ray transform for any $k \in \mathbb{Z}^{+} \cup\{0\}$. Using the unique continuation property of the frac
Externí odkaz:
http://arxiv.org/abs/2412.00738
Autor:
Jathar, Shubham R., Railo, Jesse
The article surveys inverse problems related to the twisted geodesic flows on Riemannian manifolds with boundary, focusing on the generalized ray transforms, tensor tomography, and rigidity problems. The twisted geodesic flow generalizes the usual ge
Externí odkaz:
http://arxiv.org/abs/2410.04911
Autor:
Jathar, Shubham R., Railo, Jesse
We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.
Comment: 7 pages, 11 figures, accepted survey article
Comment: 7 pages, 11 figures, accepted survey article
Externí odkaz:
http://arxiv.org/abs/2410.04908
The momentum ray transform $I_m^k$ integrates a rank $m$ symmetric tensor field $f$ on ${\mathbb R}^n$ over lines with the weight $t^k$, $I_m^kf(x,\xi)=\int_{-\infty}^\infty t^k\langle f(x+t\xi),\xi^m\rangle\,\mathrm{d}t$. Let $N^k_m=(I^k_m)^*I^k_m$
Externí odkaz:
http://arxiv.org/abs/2408.08085
Publikováno v:
The Journal of Fourier Analysis and Applications 30, 58 (2024)
The momentum ray transform $I_m^k$ integrates a rank $m$ symmetric tensor field $f$ on $\mathbb R^n$ over lines with the weight $t^k$, $I_m^kf(x,\xi)=\int_{-\infty}^\infty t^k\langle f(x+t\xi),\xi^m\rangle\,\mathrm{d}t$. We compute the normal operato
Externí odkaz:
http://arxiv.org/abs/2401.00791
We study the injectivity of the matrix attenuated and nonabelian ray transforms on compact surfaces with boundary for nontrapping $\lambda$-geodesic flows and the general linear group of invertible complex matrices. We generalize the loop group facto
Externí odkaz:
http://arxiv.org/abs/2312.06023
Publikováno v:
The Journal of Geometric Analysis 34, 212 (2024)
We prove a uniqueness result for the broken ray transform acting on the sums of functions and $1$-forms on surfaces in the presence of an external force and a reflecting obstacle. We assume that the considered twisted geodesic flows have nonpositive
Externí odkaz:
http://arxiv.org/abs/2306.17604
Autor:
T. Pan, A. T. Lambe, W. Hu, Y. He, M. Hu, H. Zhou, X. Wang, Q. Hu, H. Chen, Y. Zhao, Y. Huang, D. R. Worsnop, Z. Peng, M. A. Morris, D. A. Day, P. Campuzano-Jost, J.-L. Jimenez, S. H. Jathar
Publikováno v:
Atmospheric Measurement Techniques, Vol 17, Pp 4915-4939 (2024)
Oxidation flow reactors (OFRs) have been extensively utilized to examine the formation of secondary organic aerosol (SOA). However, the UV lamps typically employed to initiate the photochemistry in OFRs can result in an elevated reactor temperature w
Externí odkaz:
https://doaj.org/article/c1190ee91a534554a59f44ffbcdedf73
Publikováno v:
Journal of Clinical Ophthalmology and Research, Vol 12, Iss 3, Pp 320-322 (2024)
Postoperative endophthalmitis is an uncommon yet devastating complication after cataract surgery. We report a case of acute-onset postoperative endophthalmitis secondary to a rare causative pathogen Chryseobacterium. Elderly male patient with chronic
Externí odkaz:
https://doaj.org/article/c7de0170a49e413ea568d3dab5947e69
Autor:
Razia Sulthana, Syed Noeman Taqui, Rayees Afzal Mir, Akheel Ahmed Syed, M.A. Mujtaba, Mohammed Huzaifa Mulla, Laxmikant D. Jathar, Reji Kumar Rajamony, Yasser Fouad, Sagar Shelare, Muhammad Mahmood Ali, Muhammad Nasir Bashir
Publikováno v:
Arabian Journal of Chemistry, Vol 17, Iss 10, Pp 105981- (2024)
The study proposed the removal of Brilliant Green, a cationic dye, by adsorption process from wastewater solution utilizing a low-cost adsorbent such as Nutraceutical Industrial Pepper Seed Spent (NIPSS). The study comprises an investigation of the p
Externí odkaz:
https://doaj.org/article/bee1dab0ded84a6e8086245699b92d4c