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Nonarchimedean harmonic analysis and analytic functions. (English) Zbl 0275.43005

MSC:

43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
30G30 Other generalizations of analytic functions (including abstract-valued functions)
32K05 Banach analytic manifolds and spaces
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
11S99 Algebraic number theory: local fields
43A70 Analysis on specific locally compact and other abelian groups
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References:

[1] Amice, Y.: Interpolationp-adique. Bull. Soc. Math. de France92, 177-180 (1964) · Zbl 0158.30203
[2] Mahler, K.: An interpolation series for a continuous function of ap-adic variable. J. für reine und angew. Math.199, 23-34 (1958) · Zbl 0080.03504 · doi:10.1515/crll.1958.199.23
[3] Put, M. van der: Difference equations overp-adic fields. Math. Ann.198, 189-203 (1972) · Zbl 0239.46046 · doi:10.1007/BF01431152
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