Workshop Description:

The main purpose of the workshop is to promote modern research developments on the interaction of the fields of generalized functions and pseudo-differential operators, as well as their applications to other areas of mathematics. The workshop has an international character; it will bring together national and international experts on these two subjects, young researchers, and doctoral students. It is organized within the framework of the VI Congress of Mathematicians of Macedonia (Ohrid, June 15-18, 2016).

Topics include (but are not limited to):

1. Distribution and ultradistribution theory, hyperfunctions, boundary values, and integral transforms;
2. Pseudodifferential operators, microlocal analysis, Fourier integral operators, and spectral theory;
3. Harmonic analysis and time-frequency analysis;
4. Applications, including differential equations, asymptotic analysis, and analytic number theory.

Duration:  3 days.

Co-organizers:

• Stevan Pilipovic, Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Serbia
• Bojan Prangoski, Faculty of Mechanical Engineering, Ss. Cyril and Methodius University, Skopje, R. Macedonia
• Jasson Vindas, Department of Mathematics, Ghent University, Belgium

Workshop leaders:

The workshop leaders are:

• Bojan Prangoski (bprangoski@yahoo.com) and
• Jasson Vindas (jvindas@cage.ugent.be).

They are the responsible contact persons for coordinating the sessions and communicating with workshop participants prior to the session presentation date and serve as a primary contact.

Speakers:

1. Daniel Lorenz, Strictly Hyperbolic Equations with Low-Regular Coefficients with Respect to Time
2. Alessandro Palmieri, Recent progress for wave models with scale invariant mass and dissipation
3. Maximilian Reich, Recent Progress on Composition in Weighted Modulation Spaces
4. Michael Reissig, Some non-standard pseudo-calculus in the treatment of dispersive equations
5. Sandro Coriasco, A sharp Weyl formula for tensor products of pseudodifferential operators
6. Daniel Velinov, C-distribution semigroups and C-ultradistribution semigroups in locally convex spaces
7. Marco Cappiello, Pseudodifferential operators and wave front sets on quasi-analytic Gelfand-Shilov spaces
8. Ville Turunen, Theory and applications of time-frequency analysis
9. Djordje Vuckovic, Eigenexpansions of ultradifferentiable functions and ultradistributions in R^n
10. Filip Tomic, Beyond Gevrey regularity
11. Joachim Toft, Small test function and large distribution spaces, invariant under Fourier transformation
12. Gregory Debruyne, Complex Tauberian theorems for Laplace transforms
13. Smiljana Jaksic, Structure theorems for G-type spaces of ultradistributions over $R_+^d$
14. Ivana Vojnovic, H–distributions with unbounded multipliers
15. Sanja Atanasova, Asymptotic behavior of distributions and time-frequency analysis
16. Andreas Debrouwere, Non-triviality of certain spaces of analytic functions. Ultrahyperfunctions and hyperfunctions of fast growth.
17. Pavel Dimovski, Modulation spaces related to translation-invariant Banach spaces of quasi-analytic ultradistributions
18. Dennis Nemzer, Boehmians of $L^2$- Growth
19. Jasson Vindas, On general Stieltjes moment problems
20. Bojan Prangoski, Complex powers of infinite order pseudodifferential operators

Participants:

1. Dennis Nemzer, California State University, Stanislaus, USA
2. Andreas Debrouwere, Ghent University, Belgium
3. Sandro Coriasco, University of Turin, Italy
4. Gregory Debruyne, Ghent University, Belgium
5. Pavel Dimovski, Ss. Cyril and Methodius University, R. Macedonia
6. Petar Sokoloski, Ss. Cyril and Methodius University, R. Macedonia
7. Sanja Atanasova, Ss. Cyril and Methodius University, R. Macedonia
8. Daniel Lorenz, Technical University Bergakademie Freiberg, Germany
9. Alessandro Palmieri, Technical University Bergakademie Freiberg, Germany
10. Stevan Pilipovic, University of Novi Sad, Serbia
11. Bojan Prangoski, Ss. Cyril and Methodius University, R. Macedonia
12. Maximilian Reich, Technical University Bergakademie Freiberg, Germany
13. Michael Reissig, Technical University Bergakademie Freiberg, Germany
14. Luigi Rodino, University of Turin, Italy
15. Katerina Saneva, Ss. Cyril and Methodius University, R. Macedonia
16. Filip Tomic, University of Novi Sad, Serbia
17. Ville Turunen, Aalto University, Finland
18. Daniel Velinov,  Ss. Cyril and Methodius University, R. Macedonia
19. Jasson Vindas, Ghent University, Belgium
20. Ivana Vojnovic, University of Novi Sad, Serbia
21. Djordje Vuckovic, Ghent University, Belgium
22. Joachim Toft, Linnaeus University, Sweden
23. Jasmina Veta Buralieva, “Goce Delchev” University, R. Macedonia
24. Marco Cappiello, University of Turin, Italy
25. Smiljana Jaksic, University of Belgrade, Serbia