Patrik Wahlberg
Associate Professor
Department of Mathematics
patrik.wahlberg
[at]
lnu [dot] se
+46 470 70 86 37
Hus B 2007
Publications
Article in journal (Refereed)
- Schulz, R., Wahlberg, P. (2017). The Equality of the homogeneous and the Gabor wave front set. Communications in Partial Differential Equations. 42. 703-730.
- Pravda-Starov, K., Rodino, L., Wahlberg, P. (2017). Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians. Mathematische Nachrichten.
- Carypis, E., Wahlberg, P. (2017). Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians. Journal of Fourier Analysis and Applications. 23. 530-571.
- Wahlberg, P. (2017). Propagation of polynomial phase space singularities for Schrödinger equations with quadratic Hamiltonians. Mathematica Scandinavica.
- Schulz, R., Wahlberg, P. (2016). Microlocal properties of Shubin pseudodifferential and localization operators. Journal of Pseudo-Differential Operators and Applications. 7. 91-111.
- Cordero, E., Toft, J., Wahlberg, P. (2014). Sharp results for the Weyl product on modulation spaces. Journal of Functional Analysis. 267. 3016-3057.
- Rodino, L., Wahlberg, P. (2014). The Gabor wave front set. Monatshefte für Mathematik (Print). 173. 625-655.
- Cordero, E., Tabacco, A., Wahlberg, P. (2013). Schrodinger-type propagators, pseudodifferential operators and modulation spaces. Journal of the London Mathematical Society. 88. 375-395.
- Boggiatto, P., Oliaro, A., Wahlberg, P. (2012). The wave front set of the Wigner distribution and instantaneous frequency. Journal of Fourier Analysis and Applications. 18. 410-438.
- Wahlberg, P., Schreier, P. (2012). On the instantaneous frequency of Gaussian stochastic processes. Probability and Mathematical Statistics. 32. 69-92.
- Oliaro, A., Rodino, L., Wahlberg, P. (2012). Almost periodic pseudodifferential operators and Gevrey classes. Annali di Matematica Pura ed Applicata. 191. 725-760.
- Toft, J., Wahlberg, P. (2012). Embeddings of alpha-modulation spaces. Pliska Studia Mathematica Bulgarica. 21. 25-46.
- Wahlberg, P. (2012). Representations of almost periodic pseudodifferential operators and applications in spectral theory. Journal of Pseudo-Differential Operators and Applications. 3. 81-119.
- Wahlberg, P., Schreier, P. (2011). Locally stationary harmonizable complex improper stochastic processes. Journal of Time Series Analysis. 32. 33-46.
- Wahlberg, P. (2011). Locally stationary stochastic processes and Weyl symbols of positive operators. Positivity (Dordrecht). 15. 105-134.
- Wahlberg, P. (2010). Regularization of kernels for estimation of the Wigner spectrum of Gaussian stochastic processes. Probability and Mathematical Statistics. 30. 369-381.
- Wahlberg, P., Schreier, P. (2010). On Wiener filtering of certain locally stationary stochastic processes. Signal Processing. 90. 885-890.
- Wahlberg, P., Schreier, P. (2009). Gabor discretization of the Weyl product for modulation spaces and filtering of nonstationary stochastic processes. Applied and Computational Harmonic Analysis. 26. 97-120.
- Wahlberg, P. (2009). A transformation of almost periodic pseudodifferential operators to Fourier multiplier operators with operator-valued symbols. Rendiconti del Seminario Matematico. 67. 247-269.
- Wahlberg, P., Schreier, P. (2008). Spectral relations for multidimensional complex improper stationary and (almost) cyclostationary processes. IEEE Transactions on Information Theory. 54. 1670-1682.
- Toft, J., Holst, A., Wahlberg, P. (2007). Weyl product algebras and modulation spaces. Journal of functional analysis. 251. 463-491.
- Wahlberg, P. (2007). Vector-valued modulation spaces and localization operators with operator-valued symbols. Integral equations and operator theory. 59. 99-128.
- Wahlberg, P., Hansson, M. (2007). Kernels and multiple windows for estimation of the Wigner-Ville spectrum of Gaussian locally stationary processes. IEEE Transactions on Signal Processing. 55. 73-84.
- Wahlberg, P. (2005). The random Wigner distribution of Gaussian stochastic processes with covariance in S0(R2d). Journal of Function Spaces and Applications. 3. 163-181.
- Wahlberg, P., Lantz, G. (2002). Approximate time-variable coherence analysis of multichannel signals. Multidimensional systems and signal processing. 13. 237-264.
Conference paper (Refereed)
- Holst, A., Toft, J., Wahlberg, P. (2010). Weyl product algebras and classical modulation spaces. Linear and non-linear theory of generalized functions and its applications. 153-158.
Chapter in book (Refereed)
- Wahlberg, P. (2006). The Wigner distribution of Gaussian weakly harmonizable stochastic processes. Pseudo-differential operators and related topics operator theory : Advances and Applications. Basel, Birkhäuser Verlag. 211-226.
Report (Other academic)
- Toft, J., Holst, A., Wahlberg, P. (2006). Modulation spaces and Weyl product algebras. Växjö Universitet, Växjö. 24.
- Toft, J., Wahlberg, P. (2006). Algebraic properties off the Weyl product on modulation spaces. Växjö Universitet, Växjö. 18.
Doctoral thesis, comprehensive summary (Other academic)
- Wahlberg, P. (2008). On time-frequency analysis and pseudo-differential operators for vector-valued functions. Doctoral Thesis. Växjö, Växjö University Press. 164.