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A note to the concept of derivatives on local fields

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Approximation Theory and its Applications

Abstract

In this note, we present expressions of characters on a local field Kq, including p-series fields, p-adic number fields and their algebraic extensions. Then we define (p)-type derivative for a function fon Kq and evaluate the pointwise derivative of a character χ of K +q .

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References

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Authors and Affiliations

  1. Nanjing University, China

    Zheng Weixing, Su Weiyi & Jiang Huikun

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  1. Zheng Weixing
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  2. Su Weiyi
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  3. Jiang Huikun
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Supported by the National Natural Science Foundation of China

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Weixing, Z., Weiyi, S. & Huikun, J. A note to the concept of derivatives on local fields. Approx. Theory & its Appl. 6, 48–58 (1990). https://doi.org/10.1007/BF02836096

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  • DOI: https://doi.org/10.1007/BF02836096

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