Nils Mikael Signal

• 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. s. 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. s. 1–33. doi: 10.1007/s00041-017-9542-x. Fulltekst i vitenarkiv
• 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. Vis sammendrag

  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), 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. 9, s. 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.

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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. Vis sammendrag

  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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