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- W2952369929 abstract "We define analogues of higher derivatives for $F_q$-linear functions over the field of formal Laurent series with coefficients in $F_q$. This results in a formula for Taylor coefficients of a $F_q$-linear holomorphic function, a definition of classes of $F_q$-linear smooth functions which are characterized in terms of coefficients of their Fourier-Carlitz expansions. A Volkenborn-type integration theory for $F_q$-linear functions is developed; in particular, an integral representation of the Carlitz logarithm is obtained." @default.
- W2952369929 created "2019-06-27" @default.
- W2952369929 creator A5041182139 @default.
- W2952369929 date "1998-07-15" @default.
- W2952369929 modified "2023-09-27" @default.
- W2952369929 title "$F_q$-Linear Calculus over Function Fields" @default.
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