On the intersection of classes of infinitely differentiable functions, Ark. Mat. 5 (1964), 301-309.
Partial regularity of mappings between Euclidean spaces, Acta Math. 119 (1967), 1-25.
Differentiability of a function and of its compositions with functions of one variable, Math. Scand. 20 (1967), 249-268.
Saturation problems and distribution theory, Appendix I in "Topics in Approximation theory" by H. S. Shapiro, Lecture Notes in Mathematics, no. 187 (1971), 249-266.
Comparison theorems for generalized moduli of continuity. Vector valued measures, in "Constructive theory of functions of several variables", Lecture Notes in Mathematics no. 571 (1977), 38-52.
Equivalence of generalized moduli of continuity, Ark. Mat. 18 (1980), 73-100.
An example of non-uniqueness for a generalized Radon transform, J. d'Anal. Math. 61 (1993), 395-401.
Support theorems for real-analytic Radon transforms, Duke Math. J. 55 (1987), 943-948 (joint work with E. T. Quinto).
The sum of two plane convex $C^{\infty}$ sets is not always $C^5$, Math. Scand. 66 (1990), 216-224.
Smoothness of sums of convex sets with real analytic boundaries, Math. Scand. 66 (1990), 225-230.
Support theorems for real-analytic Radon transforms on line complexes in three-space, Trans. Amer. Math. Soc. 335 (1993), 877-890 (joint work with E. T. Quinto) .
On generalised Radon transforms with unknown measures, Contemp. Math. 113 (1990), 5-15.
Helgason's support theorem for Radon transforms — a new proof and a generalization, Lecture Notes in Mathematics no. 1497 (1989), 1-5. pdf file
A local vanishing theorem for distributions, C. R. Acad. Sci. Paris 315 Série I (1992), 1231-1234. pdf file
Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms, Contemp. Math. 140 (1992), 23-30. pdf file
Microlocal quasianalyticity for distributions and ultradistributions, Publ. RIMS (Kyoto), 31 (1995), 1079-1095. pdf file
Examples of non-uniqueness for the combinatorial Radon transform modulo the symmetric group, Math. Scand. 78 (1996), 207-212 (joint work with Svante Linusson). pdf file
Finite rank singular perturbations and distributions with discontinuous test functions, Proc. Amer. Math. Soc. 126 (1998), 1673-1683 (joint work with Pavel Kurasov). pdf file
Uniqueness and non-uniqueness for microanalytic continuation of hyperfunctions, Contemp. Math. 251 (2000), 61-82. pdf file
A Payley-Wiener theorem for the analytic wave front set (joint work with Lars Hörmander), Asian J. Math. 3 (1999), 757-769. pdf file
Injectivity for a weighted vectorial Radon transform, Contemp. Math. 278 (2001), 87-95. pdf file
Comments to ''Remarks on modification of Helgason's support theorem. II'' by T.Takiguchi, Proc. Japan Acad. 78 , Ser. A, No. 8 (2002), 169-171. pdf file
Symmetries of quantum graphs and the inverse scattering problem, Adv. Appl. Math. 35 (2005), 58-70 (joint work with Pavel Kurasov). pdf file
Novikov's inversion formula for the attenuated Radon transform — a new approach, J. Geom. Anal. 14 (2004), 185-198 (joint work with Jan-Olov Strömberg). pdf file
On stable inversion of the attenuated Radon transform with half data, Contemp. Math. 405 (2006), 19-26. pdf file
Plane intersections of rotational ellipsoids, Amer. Math. Monthly 113 (2006), 336-339 (joint work with Nils Abramson and Björn Bonnevier). pdf file
Support theorems for the Radon transform and Cramér-Wold theorems, J. Theor. Prob. 22 (2009), 683-710 (joint work with Filip Lindskog). pdf file
Unique continuation of microlocally analytic distributions and injectivity theorems for the ray transform, Inverse Problems and Imaging 4 (2010), 619-630. pdf file
Flatness of distributions vanishing on infinitely many hyperplanes, C. R. Acad. Sci. Paris 347 (2009), 1351-1354. pdf file
A local uniqueness theorem for weighted Radon transforms, Inverse Problems and Imaging 4 (2010), 631-637. pdf file
Mathematical reminicenses, Inverse Problems and Imaging 4 (2010), 571-577. pdf file
Local non-injectivity for weighted Radon transforms, Contemp. Math. 559 (2011), 39-47. pdf file
On local injectivity for weighted Radon transforms, in The mathematical Legacy of Leon Ehrenpreis, D. Struppa and I. Sabadini (ed.), Springer Proceedings in Mathematics, Springer-Verlag 2012, 45-59. pdf file
On the modulus of continuity of mappings between Euclidean spaces (joint work with Dieudonné Agbor), Math. Scand. 112 (2013), 147-160. pdf file
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories (joint work with G. Ambartsoumian, V. P. Krishnan, and E. T. Quinto), Contemp. Math. 598 (2013), 45-58. pdf file
On stable region-of-interest reconstruction in tomography: examples of non-existence of bounded inverse, Inverse Problems 32 (2016), 125005 (10pp). pdf file
On Siciak's theorem on separate analyticity, in Analysis meets geometry, The Mikael Passare memorial volume, M. Andersson, J. Boman, C. Kiselman, P. Kurasov, R. Sigurdsson (ed.), Birkhäuser-Springer (2017), 135-146. pdf file
Stability estimates with a priori bound for the inverse local Radon transform (joint work with Joel Andersson), Inverse Problems 34 (2018), 034004 (24pp) pdf file
Stability estimates in tensor tomography (joint work with Vladimir Sharafutdinov), Inverse Probl. Imaging 12 (2018), 1245-1262. pdf file
A hypersurface containing the support of a Radon transform must be an ellipsoid. I: The symmetric case, J. Geom. Anal. , 2020 pdf file
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case, J. Inverse Ill-Posed Probl. 29 (2021), 351-367 pdf file
Regularity of a distribution and of the boundary of its support, J. Geom. Anal. , 2022 pdf file
Algebraically integrable bodies and related properties of the Radon transform (joint work with M. Agranovsky, A. Koldobsky, V. Vassiliev, and V. Yaskin), in Harmonic Analyis and Convexity, A. Koldobsky and A. Volberg (ed), 2023 pdf file
Remarks on the Interior Problem for the Radon Transform, in Inverse Problems: Modelling and Simulation, Extended Abstracts of the IPMS Conference 2024, A. Hasanoglu. R. Novikov, and K. van Bockstal (ed). pdf file
Matematik som poesi, Dialoger 18 - 19 (1991), 22-23. pdf file
Om matematik och kultur, Dialoger 27 - 28 (1993), 34-36. pdf file
Om den matematiska kunskapens osynlighet, bidrag till Dialogseminarium "Det matematiska kulturarvet", 2004. pdf file
Om magnetkameran, Magnetic Resonance Imaging, MRI, Svenska matematikersamfundets medlemsutskick, februari 2005. pdf file
En refushistoria, Svenska matematikersamfundets medlemsutskick, februari 2006. pdf file
Fuglesangs skiftnyckel och Möten i rymden, Normat 55: 2 (2007), 78-84. pdf file
Mer om trianglar med given omkrets och area, Normat 55: 4 (2007), 177-180. pdf file
Datortomografins matematik. Om en matematisk teori med många nya tillämpningar, Normat 56: 4 (2008), 177-186. pdf file
To the memory of Lars Hörmander (joint work with Ragnar Sigurdsson), Notices of the Amer. Math. Soc. 62 (2015), 890-907. pdf file
Tal vid Stockholms Universitets Installations- och promotionshögtid i Stadshuset sept 2018, pdf file