Trkalian fields: ray transforms and mini-twistors

DOI10.1063/1.4826106zbMath1288.35017arXiv1312.4020OpenAlexW1986899128MaRDI QIDQ5410900

Kemal Saygili

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4020

zbMATH Keywords

Radon transformHilbert transformdivergent beam transformintegral geometric view

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Twistor methods in differential geometry (53C28) General integral transforms (44A05)

Related Items (1)

Beltrami vector fields with an icosahedral symmetry

Cites Work

• On a class of integrals involving a Bessel function times Gegenbauer polynomials
• The divergent beam x-ray transform
• Monopoles and geodesics
• Inversion and characterization of the hemispherical transform
• A new construction of Einstein self-dual metrics.
• Harmonic morphisms with 1-dimensional fibres on 4-dimensional Einstein manifolds
• The ultrahyperbolic differential equation with four independent variables
• The Mathematics of Computerized Tomography
• Mathematical Methods in Image Reconstruction
• The Biot–Savart operator for application to knot theory, fluid dynamics, and plasma physics
• Analytic Tomography
• Global anti-self-dual Yang-Mills fields in split signature and their scattering
• TOPOLOGICALLY MASSIVE GAUGE THEORY: A LORENTZIAN SOLUTION
• TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORY
• Twistor theory and differential equations
• The x-ray transform: singular value decomposition and resolution
• The Funk transform as a Penrose transform
• Inversion for the Radon line transform in higher dimensions
• Eigenfunctions of the curl operator in spherical coordinates
• COMPLEX ANALYSIS AND THE FUNK TRANSFORM
• Topologically massive magnetic monopoles
• The spherical curl transform of a linear force-free magnetic field
• A new description of force-free magnetic fields
• An Inversion Formula for Cone-Beam Reconstruction
• Trkalian fields and Radon transformation
• Comment on ‘Analytical results for a Bessel function times Legendre polynomials class integrals’
• Comment on ‘Analytical results for a Bessel function times Legendre polynomials class integrals’
• Analytical results for a Bessel function times Legendre polynomials class integrals
• Eigenfunctions of the Curl Operator, Rotationally Invariant Helmholtz Theorem, and Applications to Electromagnetic Theory and Fluid Mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Trkalian fields: ray transforms and mini-twistors