Archive
MAY 2024
02-14/05/2024 Smiljana Jakšić visited Ghent Analysis & PDE Center (Ghent University, Belgium) and participated to conference Women in Mathematics 2024, with lecture Global regularity of Weyl pseudo-differential operators in the Gelfand-Shilov setting. Plans for future cooperation were discussed with Michael Ruzhansky, the head of the group.
06/05/2024 The paper Stochastic evolution equations with Wick-analytic nonlinearities, by Milica Žigić and her coauthors, is published online in Stochastics.
08/05/2024 Special Issue: Recent Advances in Function Spaces and Their Applications of Journal Axioms is announced. Guest Editors are Filip Tomić and Suzana Aleksić.
09/05/2024 Band-limited wavelets beyond Gevrey regularity by Nenad Teofanov, Filip Tomić, Stefan Tutić is accepted for publication in International Journal of Wavelets, Multiresolution and Information Processing.
10/05/2024 Milica Žigić participated Generalized Functions Online Workshop.
10-16/05/2024 Đorđe Vučković, visited Research Group Functional Analysis (Ghent University, Belgium) and gave a lecture On the Iterates of Laguerre operator. Plans for future cooperation were discussed with Jasson Vindas, the head of the group.
13/05/2024 Monday meetings: Major revision of paper submitted to Axioms.
16/05/2024 Nenad Teofanov participated in the webinar Proposal Writing Workshop Series – Proposal Writing and Project Planning.
19/05/2024 Stefan Tutić discussed on his exam and plans for future work with Prof. S. Pilipović.
20/05/2024 Monday meetings: Smiljana Jakšić and Đorđe Vučković – impressions from Ghent.
20/05/2024 Public lecture Da li bi ste odbili Klejovu nagradu? by Nenad Teofanov, Mathematics Spring Festival.
21/05/2024 Nenad Teofanov: Zoom meeting with J. Toft and C. Pfeuffer related to paper in preparation.
22/05/2024 University of Kragujevac approved the topic of Aleksandar Aksentijević thesis "Contributions to the theory of shift-invariant spaces“ and advisors: Suzana Aleksić and Stevan Pilipović.
23/05/2024 Nenad Teofanov applied for ICTP-INdAM Collaborative Grants and Research in Pairs 2025.
24/05/2024 The paper An introduction to extended Gevrey regularity by N. Teofanov, F. Tomić and M. Žigić is published online in Axioms.
25/05/2024 Đorđe Vučković public lecture Na talasima promene trigonometrijskih funkcija, Mathematical May day in Zrenjanin.
28/05/2024 Survey article Shift-invariant subspaces of Sobolev type, by Aleksandar Aksentijević and Suzana Aleksić, is posted on arXiv.
APRIL 2024
01/04/2024 Monday meetings: Celebrating Milica Žigić publication in Journal of Mathematical Analysis and Applications
10-12/04/2024 HANDS 2024, participation in Scientific and Organizing Committees, Smiljana Jakšić lecture - Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable
11/04/2024 Discussions with Diana Stoeva on frame multipliers
12-14/04/2024 Discussions with Joachim Toft on Wiener amalgam spaces
17/04/2024 Discussions with Sandro Coriasco on future cooperation
22/04/2024 Monday meetings: Submission plans
23/04/2024 Paper On the product of periodic distributions. Product in shift-invariant spaces, is accepted for publication in FILOMAT
25/04/2024 Submission of research paper An introduction to extended Gevrey regularity, by Nenad Teofanov, Filip Tomić, and Milica Žigić
28/04/2024 Submission of extended abstract: Smiljana Jakšić, Stevan Pilipović, Nenad Teofanov, Đorđe Vučković, On the iterates of the Laguerre operator
MARCH 2024
04/03/2024 Monday meetings: Stefan Tutić – On a construction of a Gevrey type function; Djordje Vučković – Nontriviality of Pilipović spaces on positive orthants.
11/03/2024 Monday meetings: Filip Tomić – Applications of extended Gevrey regularity.
15/03/2024 Research paper Dilation estimates for Wiener amalgam spaces of Orlicz type by B. Aris, N. Teofanov, and S. Oztup, is accepted for publication in Sampling Theory, Signal Processing, and Data Analysis.
15/03/2024 Preprint On the product of periodic distributions. Product in shift-invariant spaces by A. Aksentijević, S. Aleksić, and S. Pilipović is posted on arXiv.org.
15/03/2024 Proposal for the topic of PhD thesis of A. Aksentijević is accepted by Doctoral School of Mathematics.
18/03/2024 Monday meetings: Organizing issues of HANDS 2024.
24/03/2024 Research paper Almost diagonalization of ΨDO's over various generalized function spaces by S. Pilipović, N. Teofanov, and F. Tomić, is accepted for publication in Sarajevo Journal of Mathematics.
25/03/2024 Monday meetings: On equivalence of some norms in Gelfan-Shilov type spaces on positive orthants.
27/03/2024 Article Shift-invariant subspaces of Sobolev spaces and shift-preserving operators by A. Aksentijević, S. Aleksić, and S. Pilipović, is accepted for publication in the book Analysis, Approximation, Optimization: Computation and Applications - In Honor of Gradimir V. Milovanović on the Occasion of his 75th Anniversary (will be published as a part of the Springer Optimization and its Applications series).
28/03/2024 Research paper Generalized exponentially bounded integrated semigroups by M. Kostić, S. Pilipović, and M. Žigić, is accepted for publication in Journal of Mathematical Analysis and Applications.
FEBRUARY 2024
05/02/2024 Monday meetings: Đorđe Vučković – On iterates of the Laguerre operator.
11-16/02/2024 Nenad Teofanov visited ARI and NuHaG in Vienna. GOALS research objectives were presented to project partners: Peter Balazs, Hans Georg Feichtinger, Diana Stoeva, and Daniel Louis Abreau. Cooperation between GOALS and Challenges in Frame Multiplier Theory, CHAMP is agreed.
21/02/2024 Online radionica Fonda za nauku – Upotreba portala za izveštavanje.
22/02/2024 Kreiran X nalog projekta @GoalsP2727.
26/02/2024 Nenad Teofanov – Basic notions of time-frequency analysis, lecture at Seminar Bogoljub Stanković.
26/02/2024 Key Members meeting – Q1 report: achievements, plans, challenges.
26/02/2024 Preprint Band-limited wavelets beyond Gevrey regularity by Nenad Teofanov, Filip Tomić, Stefan Tutić, is posted on arXiv.org.
28/02/2024 Preprint Almost diagonalization of ΨDO's over various generalized function spaces by Stevan Pilipović, Nenad Teofanov, Filip Tomić, is posted on arXiv.org.
JANUARY 2024
15/01/2024 Monday meetings: GOALS – the first month retrospective.
18/01/2024 Filip Tomić created website for conference HANDS 2024: https://sites.google.com/view/hands2024
22/01/2024 Monday meetings: Aleksandar Aksentijević – Shift-invariant subspaces on L^2(R^n).
24/01/2024 Aleksandar Aksentijević – Public presentation of PhD thesis topic at the University of Kragujevac.
29/01/2024 Monday meetings: Nenad Teofanov – On the decay of band-limited wavelets.
30/01/2024 Informal discussions on extended Gevrey regularity.
DECEMBER 2023
01/12/2023 The project GOALS is initiated and will run for three years.
04/12/2023 Submission of project proposal for bilateral cooperation Serbia/Croatia.
05/12/2023 Discussions with Serbian Academy of Science and Arts Branch in Novi Sad about joint organization of international conference Harmonic Analysis and Distributions HANDS 2024.
08/12/2023 Meeting with representatives of the Science Fund of the Republic of Serbia, link.
11/12/2023 Team members meeting about the initial activities within Work Packages.
18/12/2023 Team members meeting - Smiljana Jakšić - Overview of topics for WP1.
22/12/2023 Radionica - Upravljanje projektima i finansijama.
25/12/2023 Team members meeting - Aleksandar Aksentijević - Topic for the thesis.
13-26/12/2023 Discussions with prof. Ville Turunen, Aalto University.
NOVEMBER 2023
20/11/2023 Suzana Aleksić - Frames and bases in Hilbert spaces, Dani matematike u Novom Sadu, seminar “Bogoljub Stanković”
Apstrakt: Cilj predavanja je da se kroz osnovne pojmove i tvrđenja teorije okvira u Hilbertovim i Banahovim prostorima ukaže na to da je teorija okvira veoma moćno sredstvo u analizi velikog broja prostora i distribucija. Biće navedene prednosti, ali i nedostaci okvira u odnosu na baze i uspostavljena veza između baza, ortonormiranih baza, Risovih baze i okvira u Hilbertovim prostorima. Daćemo uopštenje pojama okvira na Banahove prostore i karakterizaciju prostora kod kojih postoji Banahov okvir. Izložićemo dosadašnje rezultate o okvirima u nekim translaciono-invarijantnim prostorima, i dati originalne rezultate o karakterizaciji prostora generisanim translacijama funkcija koje čine okvir za translaciono-invarijante potprostore Soboljevog prostora. Zbog širokog polja primene teorije okvira, pre svega u signalnoj analize, diskutovaćemo neke moderne tehnike uzorkovanja i rekonstrukcije funkcija u translaciono-invarijantim prostorima.
22/11/2023 Stefan Tutić hosted the visit of pupils from the elementary school Jovan Dučić, Petrovaradin, to Department of Mathematics and Informatics. He presented maths curriculum and career options after graduating.
23/11/2023 Milica Žigić - STOHASTIČKE EVOLUCIONE JEDNAČINE SA NELINEARNOSTIMA VIKOVOG TIPA, seminar Stohastika sa primenama MI SANU
Apstrakt: Posmatraćemo nekoliko klasa nelinearnih stohastičkih diferencijalnih jednačina sa nelinearnostima koje proizilaze iz Vikovog proizvoda u okvirima teorije belog šuma. Jednačine koje posmatramo uključuju različite stohastičke verzije poznatih diferencijalnih jednačina, kao što su Fudžita jednačina, Fišer-KPP jednačina i druge. Koristeći teoriju S0-polugrupa, kao i evolucione sisteme dokazujemo postojanje i jedinstvenost rešenja posmatranih klasa stohastičkih PDJ u obliku haos ekspanzija. Dodatno, rešavali smo i linearne neautonomne SPDJ i dali nekoliko primera primene dobijenih rezultata.
OCTOBER 2023
04/10/2023 Nenad Teofanov, An introduction to localization operators, Seminar on analysis and geometry, Aalto University, Finland
04/10/2023 Suzana Aleksić participated in event “Kroz prizmu nauke” upon the call of Science Fund of Republic of Serbia
16/10/2023 Stefan Tutić, Hiperfunkcije, Seminar “Bogoljub Stanković”
Apstrakt: Hiperfunkcije je uveo japanski matematičar Mikio Sato sa ciljem da napravi analognu teoriju Švarcovim distribucijama za kompleksne analitičke funkcije. U prvom delu predavanja biće izložena motivacija za njihovo uvođenje. Ideja je da se Dirakova distribucija i Furijeova transformacija mogu posmatrati kao vrednosti na rubu neke analitičke funkcije. U drugom delu posmatraće se reprezentacija distribucija preko analitičkih funkcija. U poslednjem delu predavanja, definisaće se pojam hiperfunkcije. Takođe, biće prikazani svi pojmovi koji su analogni u Švarcovoj teoriji distribucija. Na kraju, osvrnućemo se na Furijeovu transformaciju za hiperfunkcije.
10-16/10/2023 Arrangement with Novi Sad Mathematical Society for GOALS participation within Days of Mathematics
18-19/10/2023 Initiative for proposing a project of bilateral cooperation with Croatia
30/10/2023 Nenad Teofanov, Jedan uvod u operatore lokalizacije, Seminar “Bogoljub Stanković”
Apstrakt: Tema predavanja su operatori lokalizacije u kontekstu vremensko-frekvencijske analize. Uvodni deo je posvećen Furijeovim množiteljima. Furijeovi množitelji imaju globalni efekat na posmatrani signal. Vremenski i frekvencijski domen se u Furijeovoj analizi posmatraju kao razdvojeni prostori. Nasuprot tome, u svrhu ispitivanja lokalnih svojstava signala, zgodno je posmatrati vremensko-frekvencijsku ravan kao geometrijsku celinu, odnosno koristiti aparat vremensko-frekvencijske analize. Operatori lokalizacije predstavljaju prirodno proširenje Furijeovih množitelja u kontekstu vremensko-frekvencijske analize. U istorijskom smislu, njih je najpre uveo Felix Berezin početkom 70-tih godina prošlog veka u okviru kvantne fizike. Savremeni pristup operatorima lokalizacije, sa primenama u optici i signalnoj analizi izložen je u radu Ingrid Daubechies iz 1988. godine. Središnji deo predavanja posvećen je svojstvima operatora lokalizacije na modulacijskim prostorima, koje je definisao Hans Georg Feichtinger u svom tehničkom izeštaju iz 1983. godine. Na samom kraju, osvrnućemo se na interpretaciju operatora lokalizacije u teoriji okvira.
SEPTEMBER 2023
28/09/2023 the Project GOALS is approved for funding.