演講訊息 TALKS

A fundamental fact on Fourier analysis is that the Fourier transform is a unitary transform from on the "time" space to on the "frequency(=phase)" space. A important class of singular integral operators is defined via the Fourier transform. For example the Hilbert transform is a typical example of sigular integral operators realized by the Fourier multiplier. A more advanced example will be a class of PSIDO. In this talk I will present a decomposition formula of the "frequency" space. This talk shall be oriented to appications of this new decomposition formula as well as the related problem of a.e. convergence of the Fourier transform. Finally, the material of this talk is the following paper by the speaker, which was published from Michigan Mathematical Journal. Maximal operator for pseudo-differential operators with homogeneous symbols.