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.).

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##### IMI(Institute of Mathematics for Industry)

# Seminar

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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 | |