Jan Boman

Contact

Name and title: Jan Boman

Workplace: Department of Mathematics (incl. Math. Statistics) Länk till annan webbplats.

Visiting address Room 315

Research group

Mathematical analysis

Mathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.

About me

My research is concerned with mathematical problems related to Computerized Tomography (datortomografi). For instance, I study uniqueness and stability questions for the inverse of the   Radon transform  and some of its generalizations.  Another interest of mine is microlocal analysis, that is, the description of singularities of distributions in terms of their local harmonic analysis, which is provided by  the (analytic) wave front set of the distribution. The connection with tomography is that it is sometimes useful to make  precise analysis  of the singularities of  solutions to an equation $R f = g$, where $R$ is a generalized Radon transform.

Keywords: tomography, Radon transform, microlocal analysis, inverse problems




Contact

Name and title: Jan Boman

Workplace: Department of Mathematics (incl. Math. Statistics) Länk till annan webbplats.

Visiting address Room 315

Research group

Mathematical analysis

Mathematical analysis deals generally with problems that involve questions like how does a quantity develop, that is, how does it depend on variables/parameters? In our group we are mainly working in operator theory, in particular, differential operators, as well as in complex analysis.