Journal of the Ramanujan Mathematical Society

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Differentiable Functions on the Ring of p-Adic Integers


Affiliations
1 The Ramanujan Institute, University of Madras, Madras-600 005, India
2 Department of Mathematics, Government Arts College for Men, Nandanam, Madras-600 035, India
     

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We characterize the differentiability properties of a continuous function defined on the ring of p-adic integers in terms of a double series and its iterated series associated with the interpolation series of such a function.

Keywords

p-adic Integers, p-Adic Fields, Interpolation Series, Differentiability, Strict Differentiability, AMS Classification Index: Primary 26E30, 46P05 Secondary I2J25, 41A05.
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  • Differentiable Functions on the Ring of p-Adic Integers

Abstract Views: 170  |  PDF Views: 0

Authors

G. Rangan
The Ramanujan Institute, University of Madras, Madras-600 005, India
V. Selvamuthu
Department of Mathematics, Government Arts College for Men, Nandanam, Madras-600 035, India

Abstract


We characterize the differentiability properties of a continuous function defined on the ring of p-adic integers in terms of a double series and its iterated series associated with the interpolation series of such a function.

Keywords


p-adic Integers, p-Adic Fields, Interpolation Series, Differentiability, Strict Differentiability, AMS Classification Index: Primary 26E30, 46P05 Secondary I2J25, 41A05.