Math Department bringing experts from around the globe to speak at colloquia

The Mathematics Department invites the AUM community to hear experts from Macau and New York speak at colloquia on mono-components and Hide.

Monday, Nov. 16

Adaptive Decomposition of Signals Into Mono-components
Professor Tao Qian, Department of Mathematics, University of Macau
Refreshments at 3:30 p.m., lecture at 4 p.m.
Goodwyn Hall 202

Mono-components refers to the signals that possess non-negative analytic phase derivatives (analytic instantaneous frequency). An algorithm is proposed to decompose a general signal into a series of mono-components with fast convergence in energy. The formulation is related to the so-called Takenaka-Malmquist or rational function system. Due to the adaptivity of the study, however, it does not fall into the scope of the long-term and traditional studies. (Keywords: Hilbert transform, Hardy spaces, Analytic phase derivative, instantaneous frequency, time frequency analysis, Fourier series, conformal mapping, Moebius transform, Bkaschke product, Bedrosian identity, Greedy algorithm, Takenaka-Malmquist system, rational function system.)

Friday, Nov. 20

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Professor Charles A. Micchelli, Department of Mathematics, SUNY Albany
Refreshments at 1:30 p.m., lecture at 2 p.m.
Goodwyn Hall 202

Reviewed in detail will be the method of Hypercircle Inequality (Hi) for estimation in a Hilbert Space from exact data. It will then be explained how aspects of Hi  can be extended to the case of date error (Hide).

Nov. 12, 2009