Department of Mathematics and Systems Analysis

Research groups

Analysis and PDE seminars at Aalto

Seminar on analysis and geometry

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


Harmonic analysis and PDE seminar

As of January 2016, we launched a joint seminar of the Harmonic Analysis group at the University of Helsinki, and the Nonlinear PDE group at the Aalto University.

Starting from fall 2017, we have a new schedule. The seminar is held once in 3 weeks but with two one-hour talks. The time is the same as before Fridays at 14-16. The place alternates between the University of Helsinki Kumpula Campus (Exactum room C124) and the Aalto University Otaniemi Campus (Main Building room M3).

Everyone interested is welcome!

See the webpage of the seminar. The talks are listed in the end of this page as well.


  • 17.10. 12:15  Vasiliki Evdoridou (The Open University, UK): Singularities of inner functions and entire maps of finite order – M3 (M234)

    Let f be a transcendental entire function of finite order and U an unbounded, invariant Fatou component of f. We can associate an inner function, g say, to the restriction of f to U. We will show that for two classes of entire functions whose set of singular values is bounded, the number of singularities of g on the unit circle is at most twice the order of f. This is joint work with N. Fagella, X. Jarque and D. Sixsmith.

  • 24.10. 12:15  Hans Tylli (University of Helsinki): Structural rigidity of generalised Volterra operators on Hardy spaces – M3 (M234)

    will describe generalised analytic Volterra operators T_g on the Hardy spaces H^p over the unit disk D for 1 \le p < \infty, where T_gf(z) = \int_0^z f(w)g'(w) dw, for z in D and f in H^p. Above the analytic map g from BMOA is the symbol of T_g. The systematic study of this class of operators was initiated by Aleman, Cima and Siskakis around 1995. Earlier certain T_g were used by Pommerenke (1977) and the class contains e.g. a version of the classical Cesaro averaging operator, which is obtained with g(z) = - \log(1-z). I will focus attention on recent work on the structural rigidity of the class of non-compact operators T_g on H^p for p different from 2. The main result says that if T_g defines an isomorphism from M to T_g(M) for the infinite-dimensional closed subspace M of H^p, then M contains a subspace linearly isomorphic to the sequence space \ell^p. In particular, this implies that the non-compact Volterra operators T_g have a quite restricted range of linear qualitative behaviour compared to that of arbitrary bounded operators on H^p (for p different from 2). This is joint work with Santeri Miihkinen (Åbo), Pekka Nieminen (Turku) and Eero Saksman (Helsinki).

  • 31.10. 12:15  Ratan Kumar Giri: Singular Nonlocal Problem Involving Measure Data – M3 (M234)
  • 7.11. 12:15  Vito Buffa (University of Ferrara): BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ – M3 (M234)

    We adapt the tools from the differential structure developed by N. Gigli in order to give a definition of BV functions on RCD(K,\infty) spaces via suitable vector fields and then establish an extended Gauss-Green formula on a class of "regular" domains, which features the "normal trace" of vector fields with finite divergence measure. Then, we pass to the more classical context of a doubling metric measure space supporting a Poincaré inequality, where we reformulate the theory of "rough traces" of BV functions (after V. Maz'ya) in comparison with the Lebesgue-points characterization, and discuss the conditions under which the respective notions of trace coincide. Based on a joint work with M. Miranda Jr.

  • 14.11. 12:15  Karl Brustad (NTNU, Trondheim): The dominative p-Laplacian and sublinear elliptic operators – M3 (M234)
  • 21.11. 12:15  Aleksis Koski (University of Jyväskylä): TBA – M3 (M234)

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