Vector-valued oscillatory integrals and (ρ, δ)-type pseudodifferential calculus

21.11.2025, 11:00  –  Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis

Gihyun Lee (Potsdam)

I shall report on ongoing joint work with Vishvesh Kumar (Ghent University, Belgium), in which we construct a general pseudodifferential calculus of type \((\rho,\delta)\) associated with symbols taking values in a locally convex space. Our framework covers the classical Kohn-Nirenberg and Weyl calculi, while our main motivation is to generalize Connes' pseudodifferential calculus on noncommutative tori to the general\( (\rho,\delta)\))-type. I will introduce the vector-valued oscillatory integral underlying our construction and discuss the technical difficulties that do not appear in the scalar- or Banach space-valued \((\rho,\delta)\)-type calculi in the literature.

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