國立東華大學應用數學系

學    生    演    講

    主講人：蔡伃彥

                   Department of Applied Mathematics, National Dong Hwa University

     講  題：Wavelet Expansions on Spaces of Homogeneous Type

   時  間：101年5月16日(星期三)　11:00-12:00

    地  點：理學院B301

摘   要

In this talk, we introduce Haar function, a quasi-metric, a spaces of homogeneous type, Calderón-Zygmund singular integral operator, test function, scaling function, a wavelet of type and strong weak boundedness property(SWBP).

  Next, we define approximation to the identity with replacing the constant 2 by α, and obtain father and mother function.

  Finally, we introduce dyadic cube in M. Christ's papers. According above, we obtain a discrete Calderón's reproducing formula and a wavelet expansion.

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