PhD Julia Borrás Sol
Mathematics and statistics, Physical sciencesPhysical Sciences and Technology
Mathematics and statistics
Analysis
Harmonic analysis, wavelets, the Radon transform, inverse problems, Clifford analysis
Feodor Lynen Research Fellowship from the Humboldt Foundation, 1998–1999
English
B. Heise, M. Reinhardt, S.E. Schausberger, S. Häuser, S. Bernstein, D. Stifter: Fourier Plane Filtering Revisited-Analogies in Optics and Mathematics. Sampling Theory in Signal and Image Processing 13(3), 2014, pp. 231-248.
S. Bernstein, S. Ebert: Wavelets on S3 and SO(3) – Their construction, relation to each other and Radon transform of wavelets on SO(3). Math. Meth. Appl. Sci. 33(16), 2010, pp. 1895-1909.
S. Bernstein, R. Hielscher, H. Schaeben: The generalized spherical Radon transform and its application in texture analysis, Mathematical Methods in the Applied Sciences 32, 2009, pp. 379-394.
S. Bernstein, I. Pesenson: Radon transform on SO(3): Motivations, generalizations, discretization. In: Eric Todd Quinto, Fulton Gonzalez and Jens Gerlach Christensen (eds.): Geometric Analysis and Integral Geometry, CONM 598, pp. 77-96, 2013, DOI: http://dx.doi.org/10.1090/conm/598.
S. Bernstein, I.Z. Pesenson: Generalized splines for Radon transform on compact Lie groups with applications to crystallography. Journal of Fourier Analysis and Applications 19(1), 2013, pp. 140-166.
S. Bernstein, J.-L. Bouchot, M. Reinhardt, B. Heise: Generalized Analytic Signals in Image Processing: Comparison, Theory and Applications. In: E. Hitzer, S.J. Sangwine (eds.): Quaternion and Clifford Fourier Transforms and Wavelets. Trends in Mathematics (TIM) 27, Birkhäuser, Basel, 2013, pp. 221-246.
S. Bernstein, R. Hielscher, H. Schaeben: The generalized spherical Radon transform and its application in texture analysis. Mathematical Methods in the Applied Sciences 32, 2009, pp. 379-394.
Member of the senate at the Freiberg University of Mining and Technology (TU Bergakademie Freiberg), since 2015
Member of the rector's committee on gender equality at the TU Bergakademie Freiberg, since 2011
Member of the extended academic senate at the TU Bergakademie Freiberg, since 2009
Equal opportunity officer and member of the faculty council for the Faculty of Mathematics and Informatics at the TU Bergakademie Freiberg, since 2007
Member of the TU Bergakademie Freiberg academic council, 1994–1998
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Mathematics and statistics, Physical sciencesPhysical Sciences and Technology
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