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Publications

  1. Michael Hitrik, Katsiaryna Krupchyk, Petri Ola and Lassi Päivärinta: Transmission eigenvalues for operators with constant coefficients [article in pdf]

  2. Lassi Päivärinta, Mikko Salo and Gunther Uhlmann: Inverse Scattering for the Magnetic Schrödinger Operator (submitted for publication) [article in pdf]

  3. Kari Astala, Jennifer L. Mueller, Lassi Päivärinta and Samuli Siltanen: Numerical computation of complex geometrical optics solutions to the conductivity equation. Applied and Computational Harmonic Analysis. (to appear). [article in pdf]

  4. Mikko Kaasalainen and Lassi Päivärinta. Inverse Problems: Making the Unseen Visible with Mathematics, ERCIM NEWS73 April 2008. [article in pdf]

  5. Lassi Päivärinta and John Sylvester: Transmission Eigenvalues, SIAM Journal on Mathematical Analysis Vol. 40 (2) (2008). [article in pdf]

  6. Matti Lassas, Lassi Päivärinta and Eero Saksman: Inverse scattering problem for a two dimensional random potential. Comm. Math. Phys. 279 (2008), no. 3, 669-703 [article in pdf]

  7. Adrian I. Nachman, Lassi Päivärinta and Ari Teirilä: On Imaging Obstacles Inside Inhomogeneous Media, J. Functional Analysis, Vol 252(2) (2007), 490-516 [article in pdf]

  8. Lassi Päivärinta and Valeri Serov: Multidimensional inverse scattering problem Inverse Problems and Imaging, Vol. 1(3) (2007), 525-535

  9. David Colton, Lassi Päivärinta and John Sylvester: The Interior Transmission Problem, Inverse Problems and Imaging, Vol. 1 (1) (2006), 13-28. [article in pdf]

  10. Valeri Serov and Lassi Päivärinta: Inverse scattering problem for two-dimensional Schrödinger operator. J. Inv. Ill-Posed Problems, Vol. 14, No. 3, pp. 295-305 (2006) [article in pdf]

  11. Kari Astala and Lassi Päivärinta: Calderón's inverse conductivity problem in the plane. Annals of Mathematics, 163, (2006), 265-299 [article in pdf]

  12. Kari Astala and Lassi Päivärinta: A boundary integral equation for Calderón's inverse conductivity problem. To appear, Proceedings of El Escorial 2004 [article in pdf]

  13. Lassi Päivärinta and Valeri Serov: New estimates of Green-Faddev function and recovering of singularities in two dimensional Schrödinger operator with fixed energy. Inverse Problems 21 (2005), no. 4, 1291-1301. [article in pdf]

  14. Matti Lassas, Lassi Päivärinta and Eero Saksman: Inverse problem for a random potential. Partial differential equations and inverse problems, 277--288, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, 2004 [article in pdf]

  15. Kari Astala, Matti Lassas and Lassi Päivärinta: Calderón's inverse problem for anisotropic conductivities in the plane. Comm. Partial Differential Equations 30 (2005), no. 1-3, 207-224. [article in pdf]

  16. Lassi Päivärinta, : Analytic methods for inverse scattering theory. Proceedings of EMS Summer School and Conference: New Analytic and Geometric Methods in Inverse Problems, Springer 2004. [article in pdf]

  17. Petri Ola and Lassi Päivärinta: Mellin operators and pseudodifferential operators on graphs. Waves in Random Media, volume 14, issue 1, (2003)129 - 142.[article in pdf]

  18. Matti Lassas, Lassi Päivärinta and Eero Saksman: Inverse Schrödinger scattering problem for random potentials in the plane. University of Helsinki Preprint 360, June 2003.63 p.

  19. Petri Ola, Lassi Päivärinta and Erkki Somersalo: Inverse problems in time-harmonic electrodynamics. Inside Out: Inverse Problems and Applications. Mathematical Sciences Research Institute Publications 47. Cambridge University Press 2003. [article in pdf]

  20. Mats Gyllenberg, Andrej Ossipov and Lassi Päivärinta: On Determining Individual Behaviour from Population Data. Function Spaces, Differential Operators and Non-linear Analysis (The Hans Triebel Anniversary Volume) Birkhaeuser, Basel-Boston-Berlin 2003. Editors: D. Haroske, T. Runst, H.-J. Schmeisser [article in pdf]

  21. Lassi Päivärinta, Alexander Panchenko and Gunther Uhlmann: The Dirichlet-to Neumann map determines a $H^3/2$ ­ conductivity. Revista Iberoamericana Mathematica 19 (2003), 57 - 72.

  22. L. Päivärinta and V. Serov, An n-dimensional Borg-Levinson theorem for singular potentials, Advances in Applied Mathematics 29 (2002) 509-520.

  23. Mats Gyllenberg, Andrej Ossipov and Lassi Päivärinta: The inverse problem of linear age-structured population dynamics. Journal of Evolution Equations, 2 (2002), 223-239. [article in pdf]

  24. L. Päivärinta and V. Serov, New mapping properties for the resolvent of Laplacian and recovery of singularities of a multidimensional scattering potential, Inverse Problems 17 (2001) 1321-1326.

  25. Petri Ola, Lassi Päivärinta and Valeri Serov: Recovering singularities from back scattering in two dimensions. Comm. Partial Differential Equations, 26(3&4), 697-715 (2001).

  26. David Colton and Lassi Päivärinta: Transmission eigenvalues and the problem of Hans Levy. J. Comput. Appl. Math., 117, 91-104, (2000).

  27. Lassi Päivärinta and Erkki Somersalo: Epälineaarinen keittokirja (Non-linear Cook Book, in Finnish). Tammi 1999.

  28. Rainer Kress and Lassi Päivärinta : On the Far Field in Obstacle Scattering. Siam J. Appl. Math. 59/ 4, 1413 - 1426, 1999.

  29. Lassi Päivärinta and Valeri Serov: Recovery of singularities of a multidimensional scattering potential. Siam J. Math. Anal. 29/3, 1998.

  30. Andreas Kirsch and Lassi Päivärinta: On recovering obstacles inside inhomogeneities. Math. Meth. Appl. Sci. 21, 619-651, 1998.

  31. Tadek Dyba, Timo Hakulinen and Lassi Päivärinta: A simple non-linear modell in incidence prediction: Statistics of Medicine, 16,   2297-2309, 1997.

  32. Khosrow Chadan, David Colton, Lassi Päivärinta and William Rundell: An Introduction to Inverse Scattering and Inverse Spectral Problems. SIAM Monographs on Mathematical Modeling and Computation, Philadelphia 1997.

  33. Kari Astala, Lassi Päivärinta and Eero Saksman: The finite Hilbert transform in weighted spaces. Proc. Royal Society of Edinburgh,126A, 1157-1167, 1996

  34. Lassi Päivärinta, Erkki Somersalo and Valeri Serov: Reconstruction of singularities for the Schrödinger equation in two dimensions. Advances in Appl. Math. 14, 1993.

  35. Paul Martin, Lassi Päivärinta and Stephan Rempel:A normal crack in a half-space with stress-free surface. Math. Meth. Appl. Sci.16, 1993, 563-579.

  36. Petri Ola, Lassi Päivärinta and Erkki Somersalo: Inverse boundary value problems in electrodynamics. Duke Math.J. 70,3, 1993, 617-653.

  37. Lassi Päivärinta and Erkki Somersalo (Eds.) Inverse Problems in Mathematical Physics. Lecture Notes in Physics 422. Springer-Verlag 1993.

  38. David Colton and Lassi Päivärinta: The uniqueness of a solution to an inverse scattering problem for electromagnetic waves. Archive Rat. Mech. Anal.119,1992 59-70.

  39. Lassi Päivärinta and Stephan Rempel: Corner singularities of solutions to $\delta^{\pm 1/2} u = f$ in two dimensions. Asymptotic Analysis 5, 1992, 1-32.

  40. Lassi Päivärinta and Thomas Runst: Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces. Proc. Edinburgh Math. Soc.34, 1991, 393-410.

  41. Lassi Päivärinta and Erkki Somersalo: Inversion of discontinuities for the Schrödinger equation in three dimensions. Siam J. Math. Anal. Vol. 22, 2, 1991, 480-­499

  42. David Colton and Lassi Päivärinta: Far field patterns for electromagnetic waves in an inhomogeneous medium. Siam J. Math. Anal.Vol. 21,   6, 1990, 1537-­1549

  43. Lassi Päivärinta: The singular behavior of EM-fields near the boundary of a thin perfect conductor. Proc.URSI International Symposium on Electromagnetic Theory, Stockholm, Sweden August 14­17,pp1-3, 1989.

  44. Lassi Päivärinta (editor): Function Spaces, Differential Operators and Nonlinear Analysis. Pitman Research Notes in Mathematics Series   211, 1989.

  45. Lassi Päivärinta: The behaviour of fields near a corner of a thin object. Function Spaces, Differential Operators and Nonlinear Analysis. Pitman Research Notes in Mathematics Series 211, 1989, 192-201.

  46. David Colton, Andreas Kirsch and Lassi Päivärinta: Far field patterns for acoustic waves in an inhomogenous medium. Siam J. Math. Anal. Vol. 20, 6, 1989, 1472-1483

  47. Markku S. Lehtinen, Lassi Päivärinta and Erkki Somersalo: Linear inverse problems for generalized random variables. Inverse problem 5, 1989, 599-612

  48. Lassi Päivärinta and Erkki Somersalo: A generalization of Calderón --Vaillancourt theorem to $L^p$ and $h^p$ . Mathematische Nachrichten 138, 1988, 159-170.

  49. Heikki Haario, Lassi Päivärinta and Erkki Somersalo: On using a dispersion relation in geophysical prospecting. J. of Electromagnetic Waves and Applications 3/3, 1989, 199-208

  50. David Colton and Lassi Päivärinta: Far field patterns and the inverse scattering problem for electromagnetic waves in an inhomogeneous medium. Math. Proc. Camb. Phil. Soc. 103, 1988, 561-575.

  51. Timo Hakulinen, Leena Tenkanen, Kemal Abeywickrama and Lassi Päivärinta: Testing equality of relative survival patterns based on aggregated data. Biometrics 43, 1987, 313-325.

  52. Lassi Päivärinta and Stephan Rempel: A deconvolution problem with the kernel $\frac{1}{|x|}$ on the plane. Applicable Analysis 26, 1987, 105-128.

  53. Lassi Päivärinta and Erkki Somersalo: The uniqueness on the one-dimensional electromagnetic inversion with bounded potentials. Journal of Mathematical Analysis and Applications 127, 2, 1987, 312-333.

  54. Lassi Päivärinta ja Erkki Somersalo: Inversio-ongelmat osana sovellettua matematiikkaa. Arkhimedes 38 2/1986, 78-86.

  55. Lassi Päivärinta and D.O. Riska: The inversion of vertically  varying conductivity profiles form surface potential measurements. Commentationes Physico-Mathematicae 58, 1984, 14 s.

  56. Lassi Päivärinta: A note on continuity of pseudodifferential operators in Hardy spaces. Math. Scand. 55, 1984, 91-94.

  57. Lassi Päivärinta: Pseudodifferential operators in Hardy-Triebel spaces. Zeitschrift für Analysis und ihre Anwendungen 2 (3), 1983, 235-242.

  58. Lassi Päivärinta: Equivalent quasi-norms and Fourier multipliers in the Triebel spaces $F^s_{pq}$ . Mathematische Nachrichten 106, 1982, 101-108.

  59. Lassi Päivärinta: Eine Bemerkung zu den Räumen $L^A_p(l_q)$ ;  Monotonie der Littlewood-Paley'schen Maximal-Funktionen. Notes on Functional Analysis Dedicated to Klaus Vala on his 50th birthday. Reports of the  Department of Mathematics. University of Helsinki 1980, 13-17.

  60. Lassi Päivärinta: On the spaces $L^A_p (l_q)$ : maximal inequalities and complex interpolation. Ann. Acad. Sci. Fenn., Series A I. Mathematics 1980, 38 p. (thesis)

Last modified: Fri Apr 23 14:57:37 EEST 2010