# Analysis and PDE seminars at Aalto

## Harmonic analysis and PDE seminar

The seminar is held on **Fridays at 14-16**, and the place alternates between the University of Helsinki Kumpula Campus (Exactum room **C123**) and the Aalto University Otaniemi Campus (Main Building room **M3**).

In January and February 2017, we we will have a break in the joint seminar, but the seminar will continue at the same time (Friday 14-16) at Aalto. Later in the spring, we will think about a new concept for the joint seminar. We might have a joint seminar approximately every second week with two shorter talks.

Everyone interested is welcome!

Organizers of the seminar:

## Analysis and geometry seminar

Analysis and geometry seminar is held usually on **Wednesdays at 12-14 **in** M3**.

Organizers of the seminar:

## Talks

**28.4. 14:15 Pekka Lehtelä: On the regularity of supersolutions to the porous medium equation – M3 (M234)**- 12.5. 14:15 Christopher Hopper : TBA – M3 (M234)
- 19.5. 14:15 Dimitrios Ntalampekos (UCLA): TBA – M3 (M234)
- 24.5. 12:15 Smiljana Jaksic (University of Belgrade, Serbia): Spaces of ultradistributions with applications to pseudo-differential operators – M3 (M234)
This talk is based on joint works with Stevan Pilipovic and Bojan Prangoski.
The first part of the talk is devoted to spaces of test functions and ultradistributions on the positive orthant of the Euclidean space,
which can be described as analogous to the Gelfand-Shilov spaces and their dual spaces.
Such ultradistributions are characterized through the Laguerre expansions.
Furthermore, the full topological description of the spaces is given.
The second part is devoted to the class of the Weyl pseudo-differential operators
with radial symbols from the ultradistribution spaces.
The continuity properties of these classes of pseudo-differential operators
over the Gelfand-Shilov spaces and their dual spaces are proved.
In this way, the classes of the Weyl pseudo-differential operators are extended
to those with the radial symbols with the exponential and sub-exponential growth rate.

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