Publications

Some Recent Research Papers

(as of Jan 2014)

Harju M and Serov V, Three-dimensional direct and inverse scattering for the Schrödinger equation with a general nonlinearity, Operator Theory: Advances and Applications 236 (2014), Proceedings of 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011.

Fotopoulos G, Harju M and Serov V, Inverse fixed angle scattering and backscattering for a nonlinear Schroedinger equation in 2D, Inverse Problems and Imaging 7 (2013), 183-197.

Virtanen I I, Lind F D, Roininen L, Erickson P J, Rideout W C, Orispää M, Vierinen J and Lehtinen M S, Polyphase-coded incoherent scatter measurements at Millstone Hill, Radio Science, 48 (2013), 519–526.

Kiili H, Transmission problem for the electromagnetic scattering by a dissipative chiral obstacle, Methods and Applications of Analysis, 19 (2012) no 4, 359-380.

Serov V, Harju M and Fotopoulos G, Direct and inverse scattering problems for the two-dimensional Schroedinger equation with a general nonlinearity, J.Math. Phys. 53 (2012).

Serov V,Inverse backscattering Born approximation for a two-dimensional magnetic Schrödinger operator,Inverse Problems, 29 (2013), 075015.

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

Lecture Notes

The lecture notes below have been also combined into a single book V. Serov: "Fourier Series and Fourier Transform and Their Applications in Mathematical Physics". It is available from the author and can be found also in Oulu University Library.

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

Last updated: 30.6.2016