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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Kelvin transform and Fourier analysis for explicit reconstruction formulae in paleomagnetic context

## Kelvin transform and Fourier analysis for explicit reconstruction formulae in paleomagnetic contextAdd to your list(s) Download to your calendar using vCal - Dmitry Ponomarev (Vienna University of Technology; Steklov Mathematical Institute, Russian Academy of Sciences )
- Thursday 12 September 2019, 16:00-16:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. CATW01 - The complex analysis toolbox: new techniques and perspectives We consider so-called inverse magnetization problem in paleomagnetic context. In such a problem the aim is to recover the average remaneWe consider so-called inverse magnetization problem in the paleomagnetic context. In such a problem the aim is to recover the average remanent magnetization of a sample from measurements of one component of magnetic field in a planar region above the sample. To achieve this goal, two methods based on complex-analysis and harmonic function theory were specially developed. The first is based on Kelvin transformation mapping planar data to the family of spheres which is then followed by asymptotical analysis of spherical harmonics projection integrals. The second method is due to direct two-dimensional Fourier analysis of the data in a suitable neighborhood of the origin. The latter becomes possible after a suitable asymptotic completion of the original measurement data has been performed. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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