On the spectral synthesis for the unit circle in ${\mathcal F} L_s^q ({\mathbf R}^2)$

Series
Analysis Seminar
Time
Wednesday, October 18, 2023 - 2:00pm for 1 hour (actually 50 minutes)
Location
TBA
Speaker
Masaharu Kobayashi – Hokkaido University – m-kobayashi@math.sci.hokudai.ac.jphttps://www2.sci.hokudai.ac.jp/dept/math/en/researcher/kobayashi-masaharu-2
Organizer
Christopher Heil

Let FLqs(R2) denote the set of all tempered distributions fS(R2) such that the norm fFLqs=(R2(|F[f](ξ)|(1+|ξ|)s)qdξ)1q is finite, where F[f] denotes the Fourier transform of f. We investigate the spectral synthesis for the unit circle S1R2 in FLqs(R2) with 12q, where q denotes the conjugate exponent of q. This is joint work with Prof. Sato (Yamagata University).