Über eine geometrische Anwendung der Abelschen Integralgleichung

@article{FunkberEG,
  title={{\"U}ber eine geometrische Anwendung der Abelschen Integralgleichung},
  author={P. Funk},
  journal={Mathematische Annalen},
  volume={77},
  pages={129-135}
}
  • P. Funk
  • Mathematics
  • Mathematische Annalen
Reconstructive Integral Geometry
1 Distributions and Fourier Transform.- 1.1 Introduction.- 1.2 Distributions and generalized functions.- 1.3 Tempered distributions.- 1.4 Homogeneous distributions.- 1.5 Manifolds and differentialExpand
The angle between null spaces of the radon and related transforms
Retrieving neuronal orientations using 3D scanning SAXS and comparison with diffusion MRI
TLDR
3D sSAXS can serve as validation method for microStructural MRI, and can provide novel microstructural insights for the nervous system, given the method's orthogonality to dMRI, high sensitivity to myelin sheath's orientation and abundance, and the possibility to extract myelin-specific signal and to perform micrometer-resolution scanning. Expand
Retrieving neuronal orientations using 3 D 1 scanning SAXS and comparison with 2 diffusion MRI 3
While diffusion MRI (dMRI) is currently the method of choice to non-invasively probe tissue 14 microstructure and study structural connectivity in the brain, its spatial resolution is limited and itsExpand
Data depth and floating body.
Little known relations of the renown concept of the halfspace depth for multivariate data with notions from convex and affine geometry are discussed. Halfspace depth may be regarded as a measure ofExpand
Fast Mojette Transform for Discrete Tomography
TLDR
A new algorithm for reconstructing a two dimensional object from a set of one dimensional projected views is presented that is both computationally exact and experimentally practical and produces no artefacts in the reconstruction process, as is the case with conventional tomographic methods. Expand
Crofton formulas in hypermetric projective Finsler spaces
Abstract. A version of the Crofton formulas in integral geometry is proved for the Holmes-Thompson area in hypermetric projective Finsler spaces, without smoothness assumptions. For areas ofExpand
Integral geometry and unique continuation principles
In this thesis we study inverse problems in integral geometry and non-local partial differential equations. We will study these rather different areas of mathematical inverse problems by using theExpand
Keijo Mönkkönen Integral geometry and unique continuation principles
In this thesis we study inverse problems in integral geometry and non-local partial differential equations. We will study these rather different areas of mathematical inverse problems by using theExpand
...
1
2
3
4
5
...