Reconstructing currents from their projections

Authors: Backus, Aidan

Subject Terms: Mathematics - Differential Geometry, Mathematics - Classical Analysis and ODEs, 44A12

Access URL: http://arxiv.org/abs/2503.07573

Convergence of Ray- and Pixel-Driven Discretization Frameworks in the Strong Operator Topology

Authors: Huber, Richard

Subject Terms: Mathematics - Numerical Analysis, 44A12, 65R10, 94A08

Access URL: http://arxiv.org/abs/2503.03069

The Light ray transform for pseudo-Euclidean metrics

Authors: Agrawal, Divyansh, Stefanov, Plamen

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, 44A12, 53C65, 35R30

Access URL: http://arxiv.org/abs/2502.13684

d-plane transform: unique and non-unique continuation

Authors: Agrawal, Divyansh, Singhal, Nisha

Subject Terms: Mathematics - Classical Analysis and ODEs, 44A12, 45Q05, 44A35

Access URL: http://arxiv.org/abs/2502.07249

Certain Weighted $L^p$-improving estimates for the totally-geodesic $k$-plane transform on simply connected spaces of constant curvature

Authors: Deshmukh, Aniruddha, Kumar, Ashisha

Subject Terms: Mathematics - Functional Analysis, 44A12, 47A30, 43A85, 46E30

Access URL: http://arxiv.org/abs/2502.06506

Inversion of generalized Radon transform over symmetric $m$-tensor fields in $\mathbb{R}^n$

Authors: Abhishek, Anuj, Mishra, Rohit Kumar, Thakkar, Chandni

Subject Terms: Mathematics - Analysis of PDEs, 44A12, 44A30, 46F12, 47G10

Access URL: http://arxiv.org/abs/2502.02058

Revisiting $\Psi$DONet: microlocally inspired filters for incomplete-data tomographic reconstructions

Authors: Bubba, Tatiana A., Ratti, Luca, Sebastiani, Andrea

Subject Terms: Mathematics - Optimization and Control, Computer Science - Computer Vision and Pattern Recognition, Computer Science - Machine Learning, 44A12, 68T07, 35S30, 58J40, 92C55

Access URL: http://arxiv.org/abs/2501.18219

H\'older stability estimates for the determination of time-independent potentials in a relativistic wave equation in an infinite waveguide

Authors: Kumar, Mandeep, Zimmermann, Philipp

Subject Terms: Mathematics - Analysis of PDEs, 35R30, 35L05, 44A12

Access URL: http://arxiv.org/abs/2501.17308

A Novel Interpretation of the Radon Transform's Ray- and Pixel-Driven Discretizations under Balanced Resolutions

Authors: Huber, Richard

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Functional Analysis, 44A12, 65R10, 94A08

Access URL: http://arxiv.org/abs/2501.11451

The photography transforms and their analytic inversion formulas

Authors: Liu, Duo, Qu, Gangrong, Gao, Shan

Subject Terms: Mathematics - Functional Analysis, Mathematical Physics, 45P05, 45Q05, 44A12, 45A05

Access URL: http://arxiv.org/abs/2502.02596

Fractional Integrals and Tangency Problems in Integral Geometry

Authors: Rubin, Boris

Subject Terms: Mathematics - Functional Analysis, 44A12

Access URL: http://arxiv.org/abs/2412.20198

Brascamp--Lieb inequalities on locally compact abelian groups

Authors: Bennett, Jonathan, Cowling, Michael G.

Subject Terms: Mathematics - Functional Analysis, 44A12, 22D05

Access URL: http://arxiv.org/abs/2412.11514

An explicit spectral decomposition of the ADRT

Authors: Li, Weilin, Otness, Karl, Ren, Kui, Rim, Donsub

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Spectral Theory, 44A12, 65R10, 92C55, 68U05, 15A04

Access URL: http://arxiv.org/abs/2412.11151

Reconstruction of a function defined on a sphere using the Funk transform

Authors: Aramyan, Rafik

Subject Terms: Mathematics - Classical Analysis and ODEs, 45Q05, 44A12, 65R32

Access URL: http://arxiv.org/abs/2411.05365

Inverse Problems for Twisted Geodesic Flows

Authors: Jathar, Shubham R., Railo, Jesse

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2410.04911

Survey on Broken Ray Transforms

Authors: Jathar, Shubham R., Railo, Jesse

Subject Terms: Mathematics - Differential Geometry, Mathematics - Classical Analysis and ODEs, Primary 44A12, Secondary 58C99, 37E35

Access URL: http://arxiv.org/abs/2410.04908

Convex bodies with algebraic section volume functions

Authors: Agranovsky, Mark

Subject Terms: Mathematics - Metric Geometry, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, 44A12, 51M25

Access URL: http://arxiv.org/abs/2409.19373

End-point estimates of the totally-geodesic Radon transform on simply connected spaces of constant curvature: A Unified Approach

Authors: Deshmukh, Aniruddha, Kumar, Ashisha

Subject Terms: Mathematics - Functional Analysis, Mathematics - Differential Geometry, 44A12, 47A30, 43A85, 46E30

Access URL: http://arxiv.org/abs/2408.13541

Normal operators for momentum ray transforms, II: Saint Venant operator

Authors: Jathar, Shubham R., Kar, Manas, Krishnan, Venkateswaran P., Sharafutdinov, Vladimir A.

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, Primary 44A12, Secondary 53C65

Access URL: http://arxiv.org/abs/2408.08085

Generalized Sublevel Estimates for Form-Valued Functions and Related Results for Radon-like Transforms

Authors: Gressman, Philip T.

Subject Terms: Mathematics - Classical Analysis and ODEs, 42B99, 44A12

Access URL: http://arxiv.org/abs/2407.18860