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Durham e-Theses
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ƿ-adic Fourier analysis

Scanlon, M. G. T. (2003) ƿ-adic Fourier analysis. Doctoral thesis, Durham University.



Let Dk be the ring of integers of a finite extension of Q(_p), and let h ɛ Q≥(_0) be in its value group. This thesis considers the space of locally analytic functions of order h on Ok with values in Cp-. that is, functions that are defined on each disc of radius by a convergent power series. A necessary and sufficient condition for a sequence of polynomials, with coefficient in C(_p), to be orthogonal in this space is given, generalising a result of Amice [1] . This condition is used to prove that a particular sequence of polynomials defined in Schneider Teitelbaum [19] is not orthogonal.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:2003
Copyright:Copyright of this thesis is held by the author
Deposited On:26 Jun 2012 15:21

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