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A wavelet basis for the C^n-functions on local fields

Hold Date 2021-10-29 16:00~2021-10-29 17:00

Place Zoom

Object person  

Speaker Yu Katagiri, Tohoku University

A wavelet basis is a basis for the K-Banach space of continuous functions from a complete discrete valuation ring R whose residue field is finite to its quotient field K. In this talk, we give a characterization of the n-times continuously differentiable K-valued functions on R by the coefficients with respect to the wavelet basis and construct an orthonormal basis for K-Banach space of the n-times continuously differentiable functions. This is a joint work with Hiroki Ando (Tohoku Univ.).