Abstract:
In this paper we provide some conditions such that by integrating rational functions,
with coeffcients in the class of functions of Lipschitz type
defined on compact subsets of the Tate field, against unbounded distributions one obtains
Krasner analytic functions. Also, we study the problem of p-adic analytic continuation to larger domains of
p-adic Mellin and Laplace transforms.
Key Words: Krasner analytic functions, local fields, distributions, p-adic transforms.
2010 Mathematics Subject Classification: Primary 11S99;
Secondary: 11S80.
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