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  . This condition is used to prove that a particular sequence of polynomials defined in Schneider Teitelbaum  is not orthogonal.
|Item Type:||Thesis (Doctoral)|
|Award:||Doctor of Philosophy|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||26 Jun 2012 15:21|