Publications
Some Recent Research Papers
Lasanen S, Non-Gaussian statistical inverse problems. Part I: Posterior distributions, Inverse Probl. Imaging 6 (2012), no 2, 215 - 266.
Lasanen S, Non-Gaussian statistical inverse problems. Part II: Posterior convergence for approximated unknowns, Inverse Probl. Imaging 6 (2012), no 2, 267 - 287.
Serov V and Sylvester J, Transmission eigenvalues for degenerate and singular cases, Inverse Problems 28 (2012), no. 6, 065004.
Serov V, Inverse fixed energy scattering problem for the generalized nonlinear Schrödinger operator, Inverse Problems 28 (2012), no. 2, 025002.
Martini D, Orispää M, Ulich T, Lehtinen M, Mursula K and Lee D H, Kalman filter technique for defining solar regular geomagnetic variations: Comparison of analog and digital methods at Sodankylä Observatory, Journal of Geophysical Research A: Space Physics, 116 (2011), A06102.
Roininen L, Lehtinen M S, Lasanen S, Orispää M and Markkanen M, Correlation priors, Inverse Problems And Imaging 5 (2011), no. 1, 167–184.
Serov V and Sandhu J, Inverse backscattering problem for the generalized nonlinear Schrödinger operator in two dimensions, J. Phys. A 43 (2010), no. 32, 325206
Serov V S, Schüermann H W and Svetogorova E, Application of the Banach fixed-point theorem to the scattering problem at a nonlinear three-layer structure with absorption, Fixed Point Theory Appl. (2010), 439682
Orispää, M, and Lehtinen, M, Fortran linear inverse problem solver, Inverse Problems and Imaging 4 (2010), no. 3, 485-503
Serov V S, The fundamental solution and Fourier series in eigenfunctions of the magnetic Schrödinger operator, J. Phys. A. 42 (2009), no. 22
Lehtinen M, Damtie B, Piiroinen P and Orispää M, Perfect and almost perfect pulse compression codes for range spread radar targets, Inverse Problems and Imaging 3 (2009), no. 3, 465-486
Virtanen I I, Lehtinen M S, Nygrén T, Orispää M, and Vierinen J, Lag profile inversion method for EISCAT data analysis, Ann. Geophysicae 26 (2008), no. 3, 571-581
Vierinen J, Lehtinen M S, Orispää M, and Virtanen I I, Transmission code optimization method for incoherent scatter radar, Ann. Geophysicae 26 (2008), no. 9, 2923-2927
Damtie B, Lehtinen M, Orispää M and Vierinen J, Mismatched Filtering of Aperiodic Quadriphase Codes, IEEE Transactions on Information Theory 54 (2008), no. 4, 1742-1749
Lasanen S, Converging posterior distributions in space debris monitoring, J. Phys.: Conf. Ser. 135 (2008), 012060
Lasanen S, Measurements and infinite-dimensional statistical inverse theory, Proceedings in Applied Mathematics and Mechanics 7 (2008) no. 1, 1080101-1080102
Serov V, Inverse fixed angle scattering and backscattering problems in two dimensions, Inverse Problems 24 (2008), no. 6
Serov V and Harju M, A uniqueness theorem and reconstruction of singularities for a two-dimensional nonlinear Schrödinger equation, Nonlinearity 21 (2008), 1323-1337
Lecture Notes
Operator theory and integral equations, Lecture notes, University of Oulu, 2012
Fourier series and the discrete Fourier transform, Lecture notes, University of Oulu, 2010
Spectral theory of elliptic differential operators, Lecture notes, University of Oulu, 2009
Introduction to partial differential equations, Lecture notes, University of Oulu, 2008
Fourier transform and distributions, Lecture notes, University of Oulu, 2007
