Obrazovanje
- 2010 doktor matematičkih nauka, Univerzitet u Sarajevu
- 2007 magistar matematičkih nauka, Univerzitet u Sarajevu
- 2003 diplomirani matematičar, Univerzitet u Sarajevu
Akademsko iskustvo
- 2021. do danas redovna profesorica na Odsjeku za matematičke i kompjuterske nauke Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2015. – 2021. vanredna profesorica na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2010. – 2015. docent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
- 2005. – 2010. viši asistent na Odsjeku za matematiku Prirodno-matematičkog fakulteta Univerziteta u Sarajevu
Područja istraživanja
Harmonijska analiza, p-adska analiza, ergodična teorija.
Naučni radovi
- Memić Nacima, An estimate of the maximal operator of the Nörlund logarithmic means with respect to the Walsh-Paley system on the Hardy space H_p, Math. Inequal. Appl. 27 (2024), no. 3, 715–728. http://dx.doi.org/10.7153/mia-2024-27-50.
- Memić Nacima, Mahler coefficients of a certain class of compatible functions on Z_p, Bulletin of the Polish Academy of Sciences Mathematics, 2024.
- Memić Nacima, On the L1- norm of the logarithmic kernel of Walsh–Kaczmarz Fourier series. J Anal 31, 1939–1950 (2023), https://doi.org/10.1007/s41478-022-00545-4
- Memić Nacima, An Estimate of the Maximal Operator of the Nörlund Logarithmic Means with Respect to the Character System of the Group of 2-adic Integers on the Hardy Space H1, Bull. Iran. Math. Soc. 48 (2022), 3381–3391.
- Memić Nacima, Sead Peco, On Ergodic Transformations on the Sphere of 2-Adic Units, Vietnam J. Math. 52 (2024), no. 1, 159–174.https://doi.org/10.1007/s10013-022-00581-4
- Memić Nacima, Mahler Coefficients of Some 3-adic Ergodic Functions, Acta Mathematica Vietnamica, 47 (2022), 597–610.
- Memić Nacima, Sead Peco, Some properties of Mahler coefficients of the -adic shift, Bulletin Polish Acad. Sci. Math.,70 (2022), no. 1,. 35-51.
- Memić Nacima, Sead Peco, Mahler coefficients of the 2-adic shift, Acta Univ. Apulensis, Math. Inform. 67 (2021), 61-67.
- Memić Nacima, Huremović Muminović Jasmina, On some classes of 1-Lipschitz measure-preserving ergodic functions on Zp, Asian-Eur. J. Math. 15 (2022),no 9.
- Memić Nacima, Dynamics of some 2-adic isometric transformations, Research in Number Theory 7 (3) (2021), 1-16.
- Memić Nacima, Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels, Inequal. Appl.24 (2021), no. 1, 31–45.
- Memić Nacima, Amil Pečenković, On the L1 norm of the Dirichlet kernel on the group of 2-adic integers, Acta Univ. Apulensis, Math. Inform., 63 (2020) , 123-130.
- Memić Nacima, Amil Pečenković, , Difference operator and derivative on the dyadic field, Advances in Mathematics: Scientific Journal 10 (2021), no.10, 3327–3336.
- Memić Nacima, Sadiković Samra, Maximal operators and characterization of Hardy spaces, . Anal. Math. 46 (2020), no. 1, 119–131.
- Memić Nacima, Huremović Muminović Jasmina, Ergodic uniformly differentiable functions modulo pon Zp, p-Adic Numbers Ultrametric Anal. Appl. 12 (2020), 1, 49–59.
- Memić Nacima, Mahler coefficients of 1-Lipschitz measure-preserving functions on Zp, J. Number Theory16 (2020), no. 6, 1247–1261.
- Memić Nacima, Mahler coefficients of uniformly differentiable functions modulo p, J. Number Theory16 (2020), no. 9, 2113–2127.
- Memić Nacima, Mahler coefficients of locally scaling transformations on Zp, Math.162 (2020), no. 1, 53–76.
- Memić Nacima, Notes on ergodic 2-adic transformations, p-Adic Numbers Ultrametric Anal. Appl.12 (2020), 4, 297–309.
- Moazami Goodarzi Milad; Hormozi Mahdi; Memić Nacima, Embedding generalized Wiener classes into Lipschitz spaces. Inequal. Appl. 22 (2019), no. 1, 291–296.
- Memić Nacima, On some compatible functions on the set of 3-adic integers. Math.155 (2019), no. 2, 197–214.
- Memić Nacima, Sets of minimality of (1−1)-rational functions.p-Adic Numbers Ultrametric Anal. Appl. 10 (2018), 3, 209–221.
- Memić Nacima, Šabanac Zenan, On Perturbed Monomials on 2-adic Spheres Around 1, Filomat 31 (2017), no 15, 4905–4913.
- Memić, Nacima Ergodic polynomials on 2-adic spheres. Bull. Pol. Acad. Sci. Math. 65 (2017), no. 1, 35–40.
- Memić Nacima, Characterization of ergodic rational functions on the set of 2-adic units. Int. J. Number Theory 13 (2017), no. 5, 1119–1128.
- Memić Nacima, Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups. Math. Slovaca 67 (2017), no. 1,179–190.
- Memić, Nacima Ergodicity conditions on the group of 3-adic integers. Colloq. Math. 147 (2017), no. 1, 67–75.
- Moazami Goodarzi, Milad; Hormozi, Mahdi; Memić Nacima, Relations between Schramm spaces and generalized Wiener classes. J. Math. Anal. Appl. 450 (2017), no. 1, 829–838.
- Memić Nacima; Šabanac, Zenan, On some subsequences of Fejér means for integrable functions on unbounded Vilenkin groups. Adv. Math., Sci. J. 5 (2016), No. 2, 143-152.
- Memić Nacima.; Persson, L. E.; Tephnadze, G. A note on the maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. Studia Sci. Math. Hungar. 53 (2016), no. 4,545–556.
- Memić Nacima, Ergodic products and powers on compact subsets of the p-adic field. Bull. Pol. Acad. Sci. Math. 64 (2016), no. 1, 47–53.
- Memić Nacima, Ergodic polynomials on subsets of p-adic integers. p-Adic Numbers Ultrametric Anal. Appl. 8 (2016), no. 2, 149–159.
- Memić Nacima; Simon, Ilona; Tephnadze, George Strong convergence of two-dimensional Vilenkin-Fourier series. Math. Nachr. 289 (2016), no. 4, 485–50.
- Memić Nacima, Almost everywhere convergence of some subsequences of the Nörlund logarithmic means of Walsh-Fourier series. Anal. Math. 41 (2015), no. 1-2, 45–54.
- Memić Nacima, Almost everywhere convergence of Fejér means of some subsequences of Fourier series for integrable functions with respect to the Kaczmarz system. (English)Zbl 1346.42037Adv. Math., Sci. J. 4 (2015), No. 1, 65-77.
- Memić Nacima, On the divergence of Norlund logarithmic means with respect to the L1 norm on some unbounded Vilenkin groups, Facta Univ. Ser. Math. Inform. 29 (2014), no. 3, 271–279.
- Memić Nacima, On almost everywhere convergence of some subsequences of Fejer means for integrable functions on unbounded Vilenkin groups, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 30 (2014), 91–101.
- Memić Nacima, A note on multipliers of weak type on the dyadic group. Facta Univ. Ser. Math. Inform. 28 (2013), no. 1, 67–74.
- Memić Nacima, Estimates for the integral of maximal functions of Fejér kernel. Acta Math. Acad. Paedagog. Nyházi. (N.S.) 28 (2012), no. 2, 177–187.
- Memić Nacima, On the boundedness of the V-conjugation operator on Hardy spaces. New Zealand J. Math. 42 (2012), 121–129.
- Memić Nacima; Pirić Samra, Inverse character formula for Vilenkin systems. Facta Univ. Ser. Math. Inform. 27 (2012), no. 2, 199–211.
- Avdispahić, M.; Memić, N.; Weisz, F. Maximal functions, Hardyspaces and Fourier multiplier theorems on unbounded Vilenkin groups. J. Math. Anal. Appl. 390 (2012), no. 1, 68–73.
- Memić Nacima, Multiplicative systems on ultra-metric spaces. Math.Balkanica (N.S.) 24 (2010), no. 3-4, 275–284.
- Avdispahić, M.; Memić, N. On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups. Acta Math. Hungar. 129 (2010), no. 4,381–392.
- Avdispahić, M.; Memić, N. A derivative on the field of p-adic numbers. p-Adic Numbers Ultrametric Anal. Appl. 2 (2010), no. 4, 278–284.
- Avdispahić, M.; Memić, N. Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups. J. Math. Anal. Appl. 363 (2010), no. 2, 588–595.
Izlaganja na konferencijama
- Memić Nacima , Properties of the Dirichlet kernel and its applications on some ultra metric structures, Seminar on the Department of Mathematical Sciences at UAEU, October, 6th, 2022.
- Memić Nacima, Topics on Norlund logarithmic means, Conference: 6th Workshop on Fourier Analysis and Related Fields, August 24-31, 2017, Hungary.
- Nacima Memić, Integrability of the maximal function of Fejer kernel, Conference on Dyadic Analysis and Related Fields with Applications (DARFA14) _, Nyiregyhaza, Hungary, June 1-6, 2014
- Nacima Memić, Topics on some bounded operators, Dyadic Analysis and Applications, Nyíregyháza, Hungary, October 1st-2nd, 2013
- Nacima Memić, Pointwise convergence of Fourier series, Theory of the Walsh system and related areas, Nyíregyháza, Hungary, October 4, 2013
- Nacima Memić and Samra Pirić, On the V-conjugation operator on Hardy spaces, MASSEE INTERNATIONAL CONGRESS ON MATHEMATICS Micom 2012, Sarajevo, 19.09. – 23.09.2012.
- M. Avdispahić and N. Memić, Fourier multipliers on totally disconnected groups, International Congress of Mathematicians ICM 2010, Hyderabad, August 19-27, 2010.
- M. Avdispahić and N. Memić, Differentiation on local fields, International Congress of Mathematicians ICM 2010, Hyderabad, August 19-27, 2010.
- Nacima Memić, Topics on unbounded Vilenkin groups, MASSEE INTERNATIONAL CONGRESS ON MATHEMATICS Micom 2009, Ohrid, 16.09. – 20.09.2009.
- Nacima Memić, Multiplicative systems on ultra-metric spaces, MASSEE INTERNATIONAL CONGRESS ON MATHEMATICS Micom 2009, Ohrid, 16.09. – 20.09.2009.
- Nacima Memić, On the characterization of p-adic Egorov type mnemofunctions by their point values, Fourth Croatian Mathematical Congress CroMC2008, Osijek, June 17-20, 2008.
Objavljene knjige i udžbenici
Senada Kalabušić, Nacima Memić i Esmir Pilav, “Parcijalne diferencijalne jednadžbe”, 1. izd. Sarajevo: Prirodno-matematički fakultet, 2015. 225 str. ISBN 978-9958-592-64-5.
Naučno-istraživački projekti
Primjena teorije brojeva u geometriji, analizi i teoriji operatora, finansiranom od strane Ministarstva za obrazovanje, nauku i mlade Kantona Sarajevo po konkursu za 2019. godinu (voditelj prof. dr. Muharem Avdispahić)
Mentorstva
Završni radovi drugog ciklusa:
- F. Šarčević: Derivacija na p-adskom polju, Prirodno-matematički fakultet Sarajevo, rad odbranjen u septembru 2014.
- A. Mujčinović: Generalizacije slabo kontraktivnih preslikavanja u kompletnim metričkim prostorima, Prirodno-matematički fakultet Sarajevo, rad odbranjen u julu 2014.
- Aldina Eminović: Fiksne tačke kontraktivnih operatora na posebnim klasama metričkih prostora, Prirodno-matematički fakultet Sarajevo, rad odbranjen u julu 2019. godine.
Komentorstvo doktorske disertacije:
Samra Pirić: Cesaro sumabilnost u ortogonalnim sistemima, disertacija odbranjena 2013.
Doktorske disertacije:
- Amil Pečenković, O Lebesgueovim konstantama i izvodu na nekim ultrametričkim prostorima, Prirodno-matematički fakultet Univerziteta u Sarajevu, 2021.
- Jasmina Muminović Huremović, Dinamički sistemi racionalnih funkcija na Zp, Prirodno-matematički fakultet Univerziteta u Sarajevu, 2023.
- Sead Peco, Reprezentacija p-adskih funkcija sa primjenama, Prirodno-matematički fakultet Univerziteta u Sarajevu, 2024.
Nagrade i priznanja
Nagrade Univerziteta u Sarajevu za rezultate naučnoistraživačkog rada objavljene 2017., 2019., 2020., 2021., 2022. i 2023., godine u časopisima koje registruje baza Web of Science Core Collection.