ƿ-adic Fourier analysis
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 neces...
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Durham University
2003
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ndltd-bl.uk-oai-ethos.bl.uk-4006162016-11-18T03:21:20Zƿ-adic Fourier analysisScanlon, M. G. T.2003Let 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.669Durham Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.400616http://etheses.dur.ac.uk/3712/Electronic Thesis or Dissertation |
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669 |
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669 Scanlon, M. G. T. ƿ-adic Fourier analysis |
| description |
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. |
| author |
Scanlon, M. G. T. |
| author_facet |
Scanlon, M. G. T. |
| author_sort |
Scanlon, M. G. T. |
| title |
ƿ-adic Fourier analysis |
| title_short |
ƿ-adic Fourier analysis |
| title_full |
ƿ-adic Fourier analysis |
| title_fullStr |
ƿ-adic Fourier analysis |
| title_full_unstemmed |
ƿ-adic Fourier analysis |
| title_sort |
ƿ-adic fourier analysis |
| publisher |
Durham University |
| publishDate |
2003 |
| url |
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.400616 |
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AT scanlonmgt ƿadicfourieranalysis |
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1718393711896821760 |