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Dear all, <br class="">
<br class="">
This is Xiaodan Zhou from Analysis on metric spaces unit at Okinawa Institute of Science and Technology Graduate University. <br class="">
<br class="">
The next talk of our seminar is scheduled on this coming <b class="">Wednesday, June 9th 3-4 pm (Note the time is different from previous talks). <br class="">
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<b class="">Speaker</b> : Hiroyuki Chihara, University of the Ryukyus<br class="">
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<b class="">Title</b>: Microlocal analysis of d-plane transform on the Euclidean space<br class="">
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<b class="">Abstract:</b><br class="">
The d-plane transform is defined by integrals of functions on the n-dimensional Euclidean space over all the d-dimensional planes. where 0<d<n. This maps functions on the Euclidean space to those on the affine Grassmannian G(d,n). This is said to be X-ray transform
if d=1 and Radon transform if d=n-1. When n=2 the X-ray transform is thought to be measurements of CT scanners. In this talk we begin with the basic properties of the d-plane transform, and talk about concrete expression of the canonical relation of the d-plane
transform and quantitative properties of the product of the image of the d-plane transforms. The latter one is related to the streaking artifact of CT image, and some generalization of recent results of Park-Choi-Seo (2017) and Palacios-Uhlmann-Wang (2018)
for the X-ray transform on the plane.<br class="">
<br class="">
You can obtain a zoom link through the following registration page:<br class="">
<a href="https://oist.zoom.us/meeting/register/tJAoc-GoqDgiGtQmeSUW0-CYkIIdPL5chIyR" class="">https://oist.zoom.us/meeting/register/tJAoc-GoqDgiGtQmeSUW0-CYkIIdPL5chIyR</a><br class="">
<br class="">
More information of the seminar can be found here:<br class="">
<a href="https://groups.oist.jp/aoms/2021-summer-analysis-metric-spaces-seminar-0" class="">https://groups.oist.jp/aoms/2021-summer-analysis-metric-spaces-seminar-0</a><br class="">
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Please feel free to contact me if there are any questions. <br class="">
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Best regards,<br class="">
Xiaodan Zhou<br class="">
<br class="">
-------------------------------<br class="">
<br class="">
Analysis on Metric Spaces Unit<br class="">
Okinawa Institute of Science and Technology Graduate University<br class="">
Okinawa 904-0495, Japan<br class="">
<a href="mailto:xiaodan.zhou@oist.jp" class="">xiaodan.zhou@oist.jp</a><br class="">
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<div class=""><a href="https://groups.oist.jp/aoms" class="">https://groups.oist.jp/aoms</a></div>
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