报告人： Prof. Swanhild Bernstein，  TU Bergakademie Freiberg, Germany

题目：The Hilbert transform--an important tool in mathematics and applications

时间： 2017-2-25(星期六)上午10:00-11:00

地点： 管研楼1518教室

摘要：In our talk we present the classical complex Hilbert transform, their origin, representation and application in signal processing. Then we introduce the Riesz-Hilbert transform as higher dimensional analog in Clifford analysis. We compare the Riesz-Hilbert transform to the Hilbert transform in mathematics and in signal processing. The Hilbert as well the Riesz-Hilbert transform can be generalized to a fractional transform. In the last part of our talk we define the fractional Riesz-Hilbert transform and introduce a fractional Dirac operator and a fractional monogenic signal.

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