セミナー

発表言語 日本語
開催日 2009年06月03日 15時00分
終了日 2009年06月03日 16時00分
開催場所京都大学理学部3号館 (数学教室) 127大会議室
セミナー名臨時談話会
タイトル New phase decomposition formula and its applications 
分野 代数
幾何
解析
その他
講演者名澤野 嘉宏
講演者所属学習院大学・理
概要A fundamental fact on Fourier analysis is that
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.

Finally, the material of this talk is the following paper by the speaker,
which will be published from Michigan Mathematical Journal.

Maximal operator for pseudo-differential operators with homogeneous symbols
備考数理研でも談話会があります。(16:30〜17:30)