Nils Mikael Signal
Associate Professor
Associate Professor
- Office:
- J2017 ( Universitetsveien 25, Kristiansand )
DEGREES:
PhD in Mathematical Statistics, September 2003. Title of thesis: Topics in
Simulation and Stochastic Analysis. At the Centre of Mathematical Sciences, Lund University, Sweden.
Licentiate degree in mathematical statistics 2000. Title: Derivative Estimation
via Simulation in the Presence of Discontinuities.
Bachelor of Science in physics 1993, Lund University. Title: Some aspects of Lorentz’s weather.
Bachelor of Science in mathematics 1988, Lund University.
WORKING EXPERIENCE:
• 2008- Associate Professor at Kristiansand University.
• 2005 02 01- 2007 12 31. Research Fellow at CMA, Math. dep. Oslo,
Norway.
• August 1 - October 31, 2004 Visiting Professor at the Centre for Mathe-
matical Sciences, Division of Mathematical Statistics, University of Lund
(LU), Sweden. Teaching probability.
• January 1-June 30, 2004. Visiting Professor at the Department of Mathe-
matics, Division of Mathematical Statistics, University of Linköping, Swe-
den. Teaching probability and (theoretical) statistics.
• 1998-2003. Computer lab assistant and teaching assistant in mathemat-
ical statistics on a number of different courses (Lund University). PhD-
student in mathematical statistics at Lund University. Course director in
the introductory inference course for students at Lund University. (Lec-
turing, construction and grading of take home assignments, teaching as-
sistance, design of exams and grading.)
• 1993-1997. Various teaching and research assignments at Halmstad Uni-
versity. Senior lecturer in mathematics (calculus in one and several di-
mensions, linear algebra and transform techniques) for one year (lecturing,
teaching assistance, construction of exams and grading). Three research
papers about neural networks and fuzzy logic in soft computing, in close
connection with the paper industry, were published.
• 1992-1993. Senior lecturer in mathematics (calculus in one variable and
linear algebra) at Malmö/Helsingborg University. (Lecturing, teaching
assistance, design of exams and grading.)
• 1988-1989. Student counsellor (amanuens) in mathematics at LU.
• 1987-1992. Teaching assistant and exam grading at Department of Math-
ematics, Lund University (LU) and Lund Technical University (LTH) on
a number of courses concerning calculus in one and several variables as
well as linear algebra.
Academic interests
MAIN INTERESTS: Partial differential equations and Harmonic analysis.
Courses I tend to teach: Statistics, Stochastic analysis with finance, Fourier analysis with PDE.
Projects
Pettersson, Roger; Signahl, Mikael; Numerical approximation for a white noise driven SPDE with locally bounded drift Potential Analysis 22 4 375-393 2005 Springer
Chen, Yuanyuan; Signahl, Mikael; Toft, Joachim; Factorizations and singular value estimates of operators with Gelfand–Shilov and Pilipović kernels Journal of Fourier Analysis and Applications 1-33 2017 Springer
Øksendal, Bernt; Proske, Frank; Signahl, Mikael; The Cauchy problem for the wave equation with Lévy noise initial data Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 2 249-270 2006 World Scientific
Chen, Yuanyuan; Signahl, Mikael; Toft, Joachim; Hilbert space embeddings for Gelfand–Shilov and Pilipović spaces Generalized Functions and Fourier Analysis 31-44 2017 Springer
Signahl, Mikael; Sensitivity analysis via simulation in the presence of discontinuities Mathematical Methods of Operations Research 60 1 29-51 2004 Springer
Signahl, Mikael; Toft, Joachim; Remarks on mapping properties for the Bargmann transform on modulation spaces Integral transforms and special functions 22 4-5 359-366 2011 Taylor & Francis
Signahl, Mikael; Variational Solutions of Semilinear Wave Equations Driven by Fractional Brownian Noise Preprint series. Pure mathematics http://urn. nb. no/URN: NBN: no-8076 2005 Matematisk Institutt, Universitetet i Oslo
Signahl, Mikael; Topics in Simulation and Stochastic Analysis 2003 Centre for Mathematical Sciences, Lund University
Signahl, Mikael; Variational solutions of semilinear wave equations driven by multiplicative fractional Brownian noise. Preprint series. Pure mathematics http://urn. nb. no/URN: NBN: no-8076 2006 Matematisk Institutt, Universitetet i Oslo
Signahl, Mikael; On error rates in normal approximations and simulation schemes for Lévy processes 2003 Taylor & Francis
Signahl, Mikael; Toft, Joachim; Mapping properties for the Bargmann transform on modulation spaces Journal of Pseudo-Differential Operators and Applications 3 1 1-30 2012 Springer
Verikas, A; Signahl, M; Malmqvist, K; Bacauskiene, M; Fuzzy committee of experts for segmentation of colour images Proceedings of 5th European Congress on Intelligent Techniques and Soft Computing 3 1902-1906 1997
Signahl, Mikael; Verikas, Antanas; Fuzzy combination schemes for modular neural networks the 10th Scandinavian Conference on Image Analysis, Lappeenranta, Finland, June 9-11, 1997 419-424 1997 Pattern Recognition Society of Finland
Verikas, Antanas; Malmqvist, Kerstin; Bergman, Lars; Signahl, Mikael; Colour classification by neural networks in graphic arts Neural Computing & Applications 7 1 52-64 1998 Springer
Scientific publications
- Chen, Yuanyuan; Signahl, Mikael; Toft, Joachim (2017). Factorizations and Singular Value Estimates of Operators with Gelfand–Shilov and Pilipović kernels. Journal of Fourier Analysis and Applications. ISSN: 1069-5869. s 1 - 33. doi:10.1007/s00041-017-9542-x.
- Chen, Yuanyuan; Signahl, Mikael; Toft, Joachim (2017). Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces. Generalized Functions and Fourier Analysis. ISBN: 978-3-319-51910-4. Birkhäuser Verlag. chapter. s 31 - 44.
- Signahl, Mikael; Toft, Joachim (2012). Mapping properties for the Bargmann transform on modulation spaces. Journal of Pseudo-Differential Operators and Applications. ISSN: 1662-9981. 3 (1). s 1 - 30. doi:10.1007/s11868-011-0039-0.
- Signahl, Mikael; Toft, Joachim (2011). Remarks on mapping properties for the Bargmann transform on modulation spaces. Integral transforms and special functions. ISSN: 1065-2469. 22 (4-5). s 359 - 366. doi:10.1080/10652469.2010.541056.
- Øksendal, Bernt; Proske, Norbert Frank; Signahl, Mikael (2006). The Cauchy problem for the wave equation with Levy noise initial data. Infinite Dimensional Analysis Quantum Probability and Related Topics. ISSN: 0219-0257. 9s 249 - 270.
- Pettersson, Roger; Signahl, Mikael (2005). Numerical approximation for a white noise driven SPDE with locally bounded drift. Potential Analysis. ISSN: 0926-2601. 22 (4). s 375 - 393.
- Øksendal, Bernt; Proske, Frank Norbert; Signahl, Mikael (2003). The Cauchy problem for the wave equation with Levy noise initial data. Preprint series (Universitetet i Oslo. Matematisk institutt). ISSN: 0806-2439. (3).
- Signahl, Mikael (2006). Variational solutions of Semilinear Wave Equations Driven by Fractional Brownian noise.
- Signahl, Mikael (2006). Variational solutions of Semilinear Wave Equations Driven by Fractional Brownian noise.
Sectors
Last changed: 10.08.2020 13:08