Orthonormal bases for -adic continuous and continuously differentiable functions
Stany De Smedt (1995)
Annales mathématiques Blaise Pascal
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Stany De Smedt (1995)
Annales mathématiques Blaise Pascal
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J. Rutkowski (1988)
Acta Arithmetica
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B. Birch (1964)
Acta Arithmetica
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Yismaw Alemu (1985)
Acta Arithmetica
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B. Dwork (1973)
Annales scientifiques de l'École Normale Supérieure
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Ann Verdoodt (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn | n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq -->...
Jack Diamond (1979)
Acta Arithmetica
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