# Peter Balazs (mathematician)

Peter Balazs (born 11 December 1970 in Tulln an der Donau) is an Austrian mathematician working at the Acoustics Research Institute Vienna of the Austrian Academy of Sciences.
Peter Balazs studied mathematics and physics at the University of Vienna. In 2001, he graduated with honors in mathematics and an MSc thesis on "Polynomials over Groups" ("Polynome über Gruppen"). He successfully defended his PhD thesis and graduated (with distinction) in June 2005. His PhD thesis is titled, "Regular and Irregular Gabor Multiplier with Application to Psychoacoustic Masking".
Peter Balazs has been part of the Acoustics Research Institute since 1999. His PhD thesis was written at NuHaG (Numerical Harmonic Analysis Group), Faculty of Mathematics, University of Vienna. The cooperation formed during his thesis also resulted in him becoming a fellow of the HASSIP (Harmonic Analysis and Statistics for Signal and Image Processing) EU network. He joined the LATP (Laboratoire d'Analyse, Topologie, Probabilités), CMI and LMA, CNRS Marseille from November 2003 to April 2004 and in March, May and June 2006. He also worked with the FYMA, UCL, Louvain-La-Neuve in August 2005.
For the project FLAME (Frames and Linear Operators for Acoustical Modeling and Parameter Estimation) Peter Balazs 2011 was honored with the high reputed Start-Preis. He is director of the Acoustics Research Institute since 2012.

## Selected publications

Peter Balazs has published 27 journal and 25 conference papers, a selection of which is presented below (in chronological order):
* Balazs, Peter; Feichtinger, Hans G.; Hampejs, Mario; Kracher, Gnther (2006). "Double Preconditioning for Gabor Frames". IEEE Transactions on Signal Processing. 54 (12). Institute of Electrical and Electronics Engineers (IEEE): 4597–4610. Bibcode:2006ITSP...54.4597B. doi:10.1109/tsp.2006.882100. ISSN 1053-587X. S2CID 15138860.
* Balazs, Peter (2007). "Basic definition and properties of Bessel multipliers". Journal of Mathematical Analysis and Applications. 325 (1). Elsevier BV: 571–585. arXiv:math/0510091. Bibcode:2007JMAA..325..571B. doi:10.1016/j.jmaa.2006.02.012. ISSN 0022-247X. S2CID 7524880.
* Majdak, Piotr; Balazs, Peter; Laback, Bernhard (15 July 2007). "Multiple Exponential Sweep Method for Fast Measurement of Head-Related Transfer Functions". Journal of the Audio Engineering Society. 55 (7/8): 623–637. Retrieved 25 November 2022.
* Balazs, Peter (2008). "Matrix Representation of Operators Using Frames". Sampling Theory in Signal and Image Processing. 7 (1). Springer Science and Business Media LLC: 39–54. doi:10.1007/bf03549484. ISSN 1530-6429.
* Balazs, P.; Laback, B.; Eckel, G.; Deutsch, W.A. (2010). "Time–Frequency Sparsity by Removing Perceptually Irrelevant Components Using a Simple Model of Simultaneous Masking". IEEE Transactions on Audio, Speech, and Language Processing. 18 (1). Institute of Electrical and Electronics Engineers (IEEE): 34–49. doi:10.1109/tasl.2009.2023164. ISSN 1558-7916. S2CID 584217.
* Marelli, D.; Balazs, P. (2010). "On Pole-Zero Model Estimation Methods Minimizing a Logarithmic Criterion for Speech Analysis". IEEE Transactions on Audio, Speech, and Language Processing. 18 (2). Institute of Electrical and Electronics Engineers (IEEE): 237–248. doi:10.1109/tasl.2009.2025544. hdl:1959.13/926554. ISSN 1558-7916. S2CID 12826590.
* Antoine, Jean-Pierre; Balazs, Peter (20 April 2011). "Frames and semi-frames". Journal of Physics A: Mathematical and Theoretical. 44 (20). IOP Publishing: 205201. arXiv:1101.2859. Bibcode:2011JPhA...44t5201A. doi:10.1088/1751-8113/44/20/205201. ISSN 1751-8113. S2CID 250668658.
* Stoeva, D.T.; Balazs, P. (2012). "Invertibility of multipliers". Applied and Computational Harmonic Analysis. 33 (2). Elsevier BV: 292–299. arXiv:0911.2783. doi:10.1016/j.acha.2011.11.001. ISSN 1063-5203. S2CID 115163833.