标题:On the <mml:math alttext="$p$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adic spectral analysis and multiwavelet on <mml:math alttext="$L^{2}(\mathbb{Q}_{p}^{n})$" id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mi>ℚ</mml:mi><mml:mi>p</mml:mi><mml:mi>n</mml:mi></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>
期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2003
卷号:2003
DOI:10.1155/S0161171203301279
出版社:Hindawi Publishing Corporation
摘要:We try to generalize an explicit construction for an orthonormal system of eigenfunctions of the Vladimirov operator on L2(ℚpn) which was originally given by Vladimirov (1988). Also the multiwavelet analysis can be considered as the p-adic spectral analysis in L2(ℚpn), using in part the recent work of Kozyrev (2002).