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Seminar on theory of function spaces

usually takes place Every Wednesday 10:00 Department of Mathematical Analysis, Faculty of Mathematics and Physics, Sokolovská 83                   
Chair: Bohumír Opic, Luboš Pick

Gelfand-Shilov spaces, Gevrey classes, and related topics

Nenad Teofanov
University of Novi Sad
Wednesday, 22. November 2017 - 9:00 to 11:00
We discuss some questions and ideas which have lead to the definition of Gevrey and Gelfand-Shilov functions. After a brief historical account for the study of such objects, we discuss different representation theorems and main properties of Gelfand-Shilov spaces and Gevrey classes. By using the approach proposed by Komatsu we extend these classes and introduce their duals, different spaces of ultra-distributions. In the second part of the talk we present some tools from time-frequency analysis and use them for the study of microlocal properties and pseudodifferential operators in the context of Gelfand-Shilov spaces, Gevrey classes and their duals.