-adic refinable functions and MRA-based wavelets期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

-adic refinable functions and MRA-based wavelets

Authors:	A.Yu. Khrennikov V.M. Shelkovich M. Skopina

Affiliation:	^aInternational Center for Mathematical Modelling in Physics and Cognitive Sciences MSI, Växjö University, SE-351 95, Växjö, Sweden;^bDepartment of Mathematics, St. Petersburg State Architecture and Civil Engineering University, 2 Krasnoarmeiskaya 4, 190005, St. Petersburg, Russia;^cDepartment of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr.-35, 198504 St. Petersburg, Russia

Abstract:	The main goal of this paper is the development of the MRA theory in . We described a wide class of p-adic refinement equations generating p-adic multiresolution analyses. A method for the construction of p-adic orthogonal wavelet bases within the framework of the MRA theory is suggested. A realization of this method is illustrated by an example which gives a new 3-adic wavelet basis. Another realization leads to the p-adic Haar bases which were known before.

Keywords:	mml7" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6WH7-4TW14WJ-1&_mathId=mml7&_user=10&_cdi=6843&_rdoc=17&_acct=C000069468&_version=1&_userid=6189383&md5=5a66ddc35064338ac0a2a362a14d808b" title=" Click to view the MathML source" alt=" Click to view the MathML source" >p-adic multiresolution analysis Refinement equations Wavelets
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