Dr. Margit Pap

Associate professor

Work address: University of Pécs, Faculty of Sciences         

Institute of Mathematics and Informatics

7624 Pécs, Ifjúság út, 6, Hungary

E-mail: papm@gamma.ttk.pte.hu  

 

CURRICULUM VITAE:                                               

Name: Margit Pap

Born: August 22, 1967

Place of birth: Tirgu Secuiesc (Kézdivásárhely), Romania

Marital status: married (László Tóth)

Children: 1 daughter (Krisztina Lilla Tóth) 

 

WORKPLACE:

University of Pécs, Faculty of Sciences

Institute of Mathematics and Informatics

7624 Pécs, Ifjúság út 6, Hungary

E-mail: papm@gamma.ttk.pte.hu

 

DEGREES:

Habilitation (2010), Eötvös Loránd University, Faculty of Informatics, Budapest, Hungary

PhD in Mathematics (1998), Faculty of Mathematics and Informatics, Babes-Bolyai University, Clui-Napoca, Romania and University of Debrecen, Hungary (2003)

Licensed in mathematics, Babes–Bolyai University Cluj/ Kolozsvár, Faculty of Mathematics (1985-1989)

                

LANGUAGES:

Hungarian: mother tongue.

Romanian: speak, write and read on high level

English: speak, write and read on excellent level

German: basic level

 

POSITIONS:

Since 2006 Associate Professor, University of Pécs, Hungary

01. September 2010-30. August 2012, Marie Curie  IEF fellowship, NuHAG, Fac. Math., University of Vienna

From 1998 to 2006 Lecturer Professor, University of Pécs, Hungary

From 1994 to 1998 Assistant Professor, Babes-Bolyai University Cluj-Napoca, Romania

From 1989 to 1994 mathematics teacher at Báthory Gymnasium, Cluj-Napoca, Romania

 

TEACHING EXPERIENCE:

Courses and seminars of Real Analysis, Complex Analysis, Calculus, Differential equations, Fourier Analysis

 

FELLOWSHIPS, AWARDS:

01. September 2010 - 30. August 2012, Marie Curie  IEF grant, NuHAG, Fac. Math., University of Vienna, coordinator Prof. H.G. Feichtinger

Békéssy György post doctoral fellowship of the Hungarian Academy, 2001-2004, full time research and teaching position.

Doctoral research fellowship of the Hungarian Academy, 1997-1998, full time research

Grigore Calugareanu award (Babes-Bolyai Univesity, 1998)

 

PARTICIPATION IN RESEARCH PROJECTS:

 01. September 2010 - 30. August 2012, Marie Curie IEF fellowship, NuHAG, Faculty of Mathematics, University of  Vienna, SPEVOTAP: Special voice transforms and applications

NKFP-2/020/2004 Project: Cornea project, Optical metrology 2005-2007

T 047128 OTKA Investigation of Walsh and Walsh-like systems

    T 032719 OTKA Approximation in Hardy spaces and their applications in control theory, 2000-2003.

 

OTHER RESEARCH-ORIENTED ACTIVITIES:

Vice President of the Scientific Comity of the János Bolyai Mathematical Society, Hungary

Associate Editor of the International Journal on Wavelets and Multiresolution Processing

Referee for Mathemathical Rewievs, Mathematica Pannonica, Acta Mathematica Hungarica, Numerical Algorithms, Analysis and Mathematical Pysiscs

Assistance in organizing two conferences: 6th Joint Conference on Mathematics and Computer Science, Pécs, Hungary, 2006 and Workshop on dyadic Analysis and related Areas with applications, Dobogókő, June 7-17, 2009, Hungary. 

 

TALKS GIVEN AT INTERNATIONAL CONFERENCES:

§  ESI 2014 follow-up workshop on TF-analysis Monday, January 13. - Friday, January 17. 2014, Fundamental analytic wavelet system for the disc algebra of the unit disc.

§  ÖMG - DMV, Congress 2013, University of Innsbruck, September 23 - 27, 2013, Rational analytic wavelets and applications.

§  ESI, 2012, Modern Methods of Time-Frequency Analysis II, Applied Coorbit theory , September 17. - September 21, Univ. Vienna,  Better atomic decomposition results i the weighted Bergman spaces bz applzing the unified approach of the atomic decompositions of Feichtinger and Groechenig.

§   Wavelets and Applications, July 8-15, 2012, St. Petersburg, Russia, Hyperbolic wavelets and Multiresolution in the Hardy Space of the Unit disc and Upper Half Plane.

§  2012 New Trends in Complex and Harmonic Analysis, 04-09  March  2012, Tenerife, properties of a  special voice transform and atomic decomposition results in the weighted Bergman spaces.

§  9th Joint Conf. on Math. and Comp. Sci., February 9-12, 2012, Siófok, Hungary, Discrete orthogonality of the Malmquist Takenaka system of the upper half plane and rational interpolation.

§  ICREA Conference, 2011, 12-17 December, Barcelona, Spain, Multiresolution in Bergman spaces.

§  Marie Curie Researchers Symposium, 2011,  25-27 September, Warsaw, Poland, Spesial voice transform and applications.

§  Workshop Nyiregyháza, 2011, 12-17 September.

§  Blaschke products and their applications,  25-29 July, 2011, Fields Institute, Toronto, Canada, Applications of Blaschke products in Harmonic Analysis, invited speaker.

§  Complex and Harmonic Analysis 2011, 10-14 July,  Spain, Malaga, Multiresolution in the Hardy space generated by a special Malmquist Takenaka system, invited speaker.

§  From Abstract to Computational Harmonic Analysis, Strobl 11, 13-19 June 2011, Strobl, Austria, Hyperbolic wavelets and multiresolution in Hardy space.

§  Harmonic and Complex Analysis and its Applications WORKSHOP (HCAA11), January 10. - Wednesday, January 12. 2011, ESI, The Erwin Schrodinger International Institute for Mathematical Physics, Boltzmanngasse 9/2 A-1090 Vienna, Austria,  The voice transform generated by a representation of the Blascke group on the weighted Bergman spaces.

§  dbar10Workshop The dbar-Neumann problem: Analysis, Geometry, and Potential Theory,  December 13 - 22, 2010, ESI, The Erwin Schrodinger International Institute for Mathematical Physics, Boltzmanngasse 9/2 A-1090 Vienna, Austria, Connection between Zernike functions, corneal topography and the voice transform.

§  Workshop on dyadic Analysis and related areas with applications, Dobogókő, June 7-17, 2009, Hungary, The voice transform generated by a representation of the Blaschke group on the Bergman spaces.

§  7th Joint Conference on Mathematics and Computer Science, 3-6 July, 2008, Cluj-Napoca, Romania.

§  Conference in Fourier and Complex Analysis, May, 2006 Protaras, Cyprus: Voice Transform of the Blaschke group.

§  6th Joint Conference on Mathematics and Computer Science (Pécs, 2006).

§  Fejér-Riesz Conference, Eger, June 2005: Rational wavelet transforms.

§  Fourier analysis Workshop, Rényi Alfréd Mathematical Institute, Budapest, September 2005,  Discrete rational systems and equilibrium conditions.

§  5th Joint Conference on Mathematics and Computer Science, Debrecen, June  2004:, Malmquist-Takenaka systems over the set of quaternions.

§  Conference on Diadic Harmonic Analysis and Applications,   Balatonszemes,  June 2003: Discrete approximations by spherical functions.

§  Constructive Theory of Functions, Varna, 2002 July : Properties of Discrete  Rational Systems.

§  Modern and Applied Analysis, Ilien (Romania), June, 1997: Properties of m-valent close-to-convex functions.

§  The Annual Conference of the Romanian Society of Mathematical Sciences, 1997,May, Bucharest(Romania) : Properties of certain integral operators.

 

  Stays at recognized research centers, invited lectures, inrernational contacts:

·         National Thechnical University of Athens, School of Applied Mathemathics and Physical Sciences, Department of Mathematics, June, 2013,  A special voice transform, connections with Zernike functions and applications (Prof. Dr. Themistocles M. Rassias)

·         Drexel University, Philadelphia, USA, 04.29-05. 07, 2012, The voice transform generated by a  representation of the Blaschke group on the Hardy space of the unit circle, connections with Zernike functions and applications (Prof. Dr. K. Nowak)

·         University of Maryland, New Carrolton, USA, 05.08-05.12, 2012, The voice transform generated by a representation of the Blascke group on the weighted Bergman spaces, connections with atomic decompositions, and multiresolution on the Bergman space (Prof. Dr. J. Benedetto, Prof. Dr. R. Balan)

·         NuHAG, University of Vienna 2010-2012, Marie Curie fellow, coordinator: Prof. Dr. Hans Georg Feichtinger, 6 Seminar talks NuHAG, Univ. Vienna, 2010- 2012, Special  voice transforms and applications

·         15th European Intensive Course on Complex Analysis, its Generalizations and Applications, 2010, June, School of Science and Technology (FCTUC) University of Coimbra, 3001-454 Coimbra, Portugal (Dr.  L. D. Abreu)

·         Rényi Alfréd Mathematical Institute of the Hungarian Academy of Sciences, Budapest (1997): Differential subordinations.

·         Janus Pannonius University, Pécs , Hungary, (1998):  Starlikeness properties of meromorphic m-valent functions, (Prof. Dr. Schipp Ferenc)

·         University of Paderborn (Erasmus, 2002, 2004, 2006): Discrete rational orthogonal and biorthogonal systems, Interpolation by Rational Functions (Prof. Dr. K. H. Inlekofer).

·         Babes-Bolyai University (CEEPUS, 2003): Frequency domain identification of partial fraction models.

·         University of Ceske Budejovice (CEEPUS, 2003): Integral operators which preserves the subordination (Prof. Dr. Petru T. Mocanu, Prof. Dr. Gabriela Kohr)

·         University of Kütahya, Turkey (Erasmus, 2007): The voice transform of the Blaschke group. 

                

RESEARCH

                   Research interest

·         Complex analysis

·         Harmonic, wavelet analysis

·         Applications in signal processing, image reconstruction, system identification, corneal topography

 

Thesis:

§  Differential subordinations and applications, Ph.D. thesis, Faculty of Mathematics and Informatics, Babes-Bolyai University, Clui-Napoca, Romania, 1998. Supervisor: Dr. Petru Mocanu.

§  Properties of  discrete orthogonal systems and wavelet type constructions, Habilitation thesis, Eötvös Loránd University, Faculty of Informatics, 2010.

 

Scientific Publications:

1.        H. G. Feichtinger, K. Nowak,  M. Pap, Spectral properties of Toeplitz operators acting on Gabor type reproducing kernel Hilbert spaces, MATHEMATICS WITHOUT BOUNDARIES : SURVEYS IN PURE MATHEMATICS, Springer, 2014, (accepted).

2.        Király B., Pap M., Pielgermajer Á., Sampling and rational interpolation for non-band-limited signals, SURVEYS IN MATHEMATICS AND Applications, Springer 2014 (accepted).

3.        H. G. Feichtinger, M. Pap, Coorbit Theory and Bergman spaces, Harmonicand Complex Analysis and its Applications, Trends in Mathematics, Springer International Publisher Switzerland, 2014, 231-259, DOI.10.1007/978-3-319-01806-5-4. ISBN. 978-3-319-01805-8.

4.        Eisner T., Pap M.,  Discrete Orthogonality of the Malmquist Takenaka System of the Upper Half Plane and Rational Interpolation, Journal of Fourier Analysis and Applications, September, 2013, DOI 10.100/s00041-013-9285-2

5.        Pap M., Multiresolution in the Bergman space, ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EOTVOS NOMINATAE SECTIO COMPUTATORICA 30: pp. 333-353. (2013)

6.        Feichtinger H. G., Pap M., Hyperbolic wavelets and multiresolution in the Hardy space of the upper half plane,  Blaschke Products and Their Applications: Fields Institute Communications 65, New York: Springer Science+Business Media BV, 2013. pp. 193-208 (ISBN:978-1-4614-5340-6)

7.        Pap M., Properties of the voice transform of the Blaschke group and connections  with atomic decomposition results in the weighted Bergman spaces, Journal of Mathemathical Analysis and Applications,  Vol. 389, Issue 1, 1 May 2012, Pages 340–350.

8.        Pap M., Hyperbolic Wavelets and Multiresolution in $H^{2}(\mathbb{T})$, Accepted for publication: Journal of Fourier Analysis and Applications, J. Fourier Anal Appl (2011) 17:755–776, DOI: 10.1007/s00041-011-9169-2.

9.        Alexandros Soumelidis, Zoltan Fazekas, Ferenc Schipp, Margit Pap, Generic Zernike-based surface representation of measured corneal surface data,  IEEE International Symposium on Medical Measurements and Applications.

10.     Pap M., The voice transform generated by a representation of the Blaschke group on the weighted Bergman spaces, Annales Univ. SCI. Budapest,. Sect. Comp. 33 (2010) 321-342.

11.     Soumelidis, Alexandros; Fazekas, Zoltan; Papp, Margit; Schipp, Ferenc, Discrete orthogonality of Zernike functions and its relevance to corneal topography, Editor: Szirmay-Kalos, L; Renner, Gábor, Published by: 5th Hungarian Conference on Computer Graphics and Geometry,  2010. Budapest, Hungary, 125-132, Conference volume.

12.     Soumelidis, Alexandros; Fazekas, Zoltan; Schipp, Ferenc; Pap, Margit, Discrete orthogonality of Zernike functions and its application to corneal measurements, Published by: Electronic Engineering and Computing Technology Lecture Notes in Electrical Engineering,  2010., Vol. 60, 455-469.

13.     Pap M., Frame and wavelet system on the sphere , Int. J. of Mathematical Sciences and Applications, Vol. 1, No. 1, January 2011, Copyright  Mind Reader Publications www.ijmsa.yolasite.com

14.     Pap M., Schipp F., The voice transform on the Blaschke group III., Publ.Math. Debrecen 2009 / 75 / 1-2 (22) [PDF]

15.  Pap M., Schipp F., The voice transform on the Blaschke group II., Annales Univ. Budapest., Sect. Comp. 29 (2008) 157-173. [PDF]

16.  Pap M., Schipp F., The voice transform on the Blaschke group I., PU. M. A. Vol. 17 (2006), No. 3-4, pp. 387-395. [PDF]

17.  Pap.,M., Schipp, F., Discrete orthogonality of Zernike functions , Mathematica  Pannonica, 16/1 (2005 ), 137- 144.  MR 2134244

       (2005k: 33010) Zbl. Math. 1082.42019.[PDF]

18.  Pap., M., Discrete approximation of the solution of the Dirichlet problem by discrete means, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, 20 (2004) 177-183. MR 2130020, Zbl. Math. 1067.41015.[PDF]

19.  Pap, M., Schipp, F., Interpolation by Rational Functions, Annales Univ. Sci. Budapest Section Comp., 23 (2004) 223-237.

20.  Pap, M., Malmquist-Takenaka systems over the set of quaternion’s, PU.M.A (2004) 15, No. 2-3, 261-274. MR Zbl. Math. 05019554. [PDF]

21.  Pap, M. Some simple conditions of strongly-starlikeness and spirallikeness of given order, Mathematica (Cluj), 45 (68), Nr 2, 2003, 161-166. MR. 2056048, Zbl. Math. 1084.30506.

22.  Pap, M., Schipp, F., Discrete approximation on the sphere, Annales Univ. Sci. Budapest, Section Comp., 22 (2003) 299-312. MR. 20094024 (2005e: 41087). [PDF]

23.  Pap, M.,  Properties of Discrete Rational Systems, Constructive Theory of Functions,Varna, 2002, DABRA, Sofia , 2003, 374-379. MR. 2092366 (2005g: 42064), Zbl. Math. 1021.33005.

24.  Soumelidis, A., Pap, M., Schipp, F., Bokor, J., Frequency domain identification of partial fraction models, 15th Triennial World Congress of thr International Federation of Automatic Control, Barcelona, Spain, 2002. 1-6.

25.  Pap, M., Schipp, F., Malmquist-Takenaka systems and equilibrium conditions. Math. Pannon. 12 (2001) 2, 185-194. MR. 1860159 (2002h: 33008), Zbl. Math. 0995.33006.

26.  Pap, M., Starlikeness properties of meromorphic m-valent functions, Publ.Math. Debrecen 54 (1999), 3-4, 281-294. MR. 1694520 (2000c: 30031), Zbl. Math. 0960.3001.

27.   Pap, M., On certain subclass of meromorphic m-valent close-to-convex functions, PU.M.A (1998), 1-2, 155-163. MR. 1677572 (2000a: 30025), Zbl. Math. 0926.30018.

28.   Pap, M., Integral operators which preserves the subordination, Math. Pannon., 9 (1998), 2, 235-242.  Zbl. Math. 0915.30021.

29.  Pap, M., Properties of certain integral operators, Mathematica (Cluj), 39 (62) (1997), 1, 83-94. MR. 1622669 (99c: 30027), Zbl. Math. 0905.3007.

30.  Pap, M., Some criteria for starlikeness and convexity of a given order, Mathematica (Cluj), 39 (62), (1997), 2, 299-303. MR. 1621844 (99d: 30019), Zbl. Math. 0907.30016.

 

Other mathematical papers connected with the teaching of the mathematics in Hungarian and Romanian

 

1.      Pap, M. , Ambrus, A., Az integráció elve a matematika tanításában, A Matematika Tanítása, Módszertani folyóirat, 1998, 1-2.

2.      Pap, M., A speciális esetek vizsgálata és az általánosítások szerepe a matematika tanításában és tanulásában, A Matematika Tanítása, Módszertani folyóirat, 1998, 3-4.

3.      Pap, M., Magdas, I., Rus, I., Valcan, D., Rolul intuitiei in prezentarea unor continuturi matematice in scoala, Lucrarile Seminarului Didactica Matematicii, 1995, 11, 77-88.

4.      Pap, M., Observati metodologice referitoare la modul de definire a unor continuturi matematice, Lucrarile Seminarului Didactica Matematicii, 1996, 12,113-118.

5.      Pap, M., Tóth, L., A faktoriális függvény egy általánosítása, MatLap 5/6, III. évfolyam, 1999, Május-Június,164-166.

6.      Pap, M., A titokzatos komplex számokról, MatLap 4, II. évfolyam, 1998, Április, 126-128.

7.      Pap, M., Az inverz trigonometrikus függvényekről, MatLap 1, I, évfolyam, 1997, Január, 4-8.