Nils Mikael Signal

Associate Professor

Department of Mathematical Sciences

Email: mikael.signal@uia.no
Phone: +47 38142363
Mobile phone: +4794122058

Office J2017 (Universitetsveien 25, 4630 Kristiansand, Norway)

Research groups

Pure and Applied Mathematical Analysis Research group (PAMAR)

Areas of responsibility

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.

Research

Academic interests

MAIN INTERESTS: Partial differential equations and Harmonic analysis.

Courses I tend to teach: Statistics, Stochastic analysis with finance, Fourier analysis with PDE.

Chen, Yuanyuan; Signahl, Mikael & Toft, Joachim (2017). Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces, Generalized Functions and Fourier Analysis. Birkhäuser Verlag. ISSN 978-3-319-51910-4. p. 31–44. doi: 10.1007/978-3-319-51911-1_3.
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. p. 1–33. doi: 10.1007/s00041-017-9542-x. Full text in Research Archive
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), p. 1–30. doi: 10.1007/s11868-011-0039-0. Show summary
We investigate mapping properties for the Bargmann transform and prove that this transform is isometric and bijective from modulation spaces to convenient Banach spaces of analytic functions. We also present some consequences. For example we prove that the spectrum of the Harmonic oscillator is the same for all modulation spaces
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), p. 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. 9, p. 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), p. 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.

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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.
Øksendal, Bernt; Proske, Frank & Signahl, Mikael (2003). The Cauchy problem for the wave equation with Lévy noise initial data. Universitetet i Oslo. ISSN 8255313648. Show summary
In this paper we study the Cauchy problem for the wave equation with space-time Lévy noise initial data in the Kondratiev space of stochastic distributions. We prove that this problem has a strong and unique C2-solution, which takes an explicit form. Our approach is based on the use of the Hermite transform.

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Published Apr. 16, 2024 10:49 AM