Publications

Preprints

• A note on the Fourier magnitude data and Sobolev embeddings, Preprint (2024), 11 pages, arXiv:2404.13329.

• (with S. R. Jathar and M. Kar) Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms, Preprint (2023), 19 pages, arXiv:2312.06023.

• (with Y.-H. Lin and P. Zimmermann) The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients, Preprint (2022), 37 pages, arXiv:2211.07781.

• (with G. Covi and P. Zimmermann) The global inverse fractional conductivity problem, Preprint (2022), 29 pages, arXiv:2204.04325.

Articles in refereed scientific journals

• (with S. R. Jathar and M. Kar) Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle, The Journal of Geometric Analysis (2024), vol. 34, article no. 212. Preprint: arXiv.

• (with G. Covi, T. Tyni and P. Zimmermann) Stability estimates for the inverse fractional conductivity problem, SIAM Journal on Mathematical Analysis (2024), vol. 56 (2), pp. 2456–2487. Preprint: arXiv.

• (with P. Zimmermann) Low regularity theory for the inverse fractional conductivity problem, Nonlinear Analysis 239 (2024), article no. 113418. Preprint: arXiv.

• (with P. Zimmermann) Fractional Calderón problems and Poincaré inequalities on unbounded domains, Journal of Spectral Theory (2023), vol. 13 (1), pp. 63–131. Preprint: arXiv.

• (with M. Kar and P. Zimmermann) The fractional p-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems, Calculus of Variations and Partial Differential Equations (2023), vol. 62 (4), article no. 130. Preprint: arXiv.

• (with J. Ilmavirta and K. Mönkkönen) On mixed and transverse ray transforms on orientable surfaces, Journal of Inverse and Ill-posed Problems (2023), vol. 31 (1), pp. 43–63. Preprint: arXiv.

• (with P. Zimmermann) Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data, Inverse Problems and Imaging (2023), vol. 17 (2), pp. 406–418. Preprint: arXiv.

• (with G. Covi, K. Mönkkönen and G. Uhlmann) The higher order fractional Calderón problem for linear local operators: Uniqueness, Advances in Mathematics 399 (2022), article no. 108246. Preprint: arXiv.

• (with G. Covi and K. Mönkkönen) Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems, Inverse Problems and Imaging (2021), no. 15 (4), pp. 641–681. Preprint: arXiv.

• Fourier analysis of periodic Radon transforms, Journal of Fourier Analysis and Applications 26 (2020),  article no. 64. b Preprint: arXiv.

• (with J. Ilmavirta and O. Koskela) Torus computed tomography, SIAM Journal on Applied Mathematics 80 (2020), no. 4, pp. 1947–1976. b,c Preprint: arXiv.

• (with J. Ilmavirta) Geodesic ray transform with matrix weights for piecewise constant functions, Annales Academiae Scientiarum Fennicae Mathematica 45 (2020), pp. 1095–1102. b Preprint: arXiv.

• (with J. Lehtonen and M. Salo) Tensor tomography on Cartan-Hadamard manifolds, Inverse Problems 34 (2018), Special Issue on 100 years of the Radon transform, no. 4, 044004. b Preprint: arXiv.

• (with S. Tukiainen, M. Laine, J. Hakkarainen, R. Kivi, P. Heikkinen, H. Chen and J. Tamminen) Retrieval of atmospheric CH4 profiles from Fourier transform infrared data using dimension reduction and MCMC, Journal of Geophysical Research: Atmospheres 121 (2016), no. 17, pp. 312–327. a

Theses

• Geodesic tomography problems on Riemannian manifolds, Doctoral dissertation, JYU Dissertations series (2019), number 161, The University of Jyväskylä, ISBN: 978-951-39-7958-4. Advisor: Mikko Salo. b Publications related to the doctoral dissertation.

• On Computational Inverse Problems – the statistical approach with an application to atmospheric remote sensing (in Finnish), Master’s thesis, Uni. Tampere (2014). Advisor: Johanna Tamminen. a A publication  related to the Master's thesis.

Computer codes and data

• (with O. Koskela) MATLAB Implementation of Torus CT, MATLAB codes (2019), 10.5281/zenodo.3243363. c Matlab codes related to the article.

Collaborators and statistics