CONVERGENCE OF CASCADE ALGORITHMS AND SMOOTHNESS OF REFINABLE DISTRIBUTIONS-中国期刊网

摘要 Inthispaper,theauthoratfirstdevelopsamethodtostudyconvergenceofthecascadealgorithminaBanachspacewithoutstableassumptionontheinitial(seeTheorem2.1),andthenappliesthepreviousresultontheconvergencetocharacterizingcompactlysupportedrefinabledistributionsinfractionalSobolevspacesandHoldercontinuousspaces(seeTheorems3.1,3.3,and3.4).Finallytheauthorappliestheabovecharacterizationtochoosingappropriateinitialtoguaranteetheconvergenceofthecascadealgorithm(seeTheorem4.2).

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CONVERGENCE OF CASCADE ALGORITHMS AND SMOOTHNESS OF REFINABLE DISTRIBUTIONS

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CONVERGENCE OF CASCADE ALGORITHMS AND SMOOTHNESS OF REFINABLE DISTRIBUTIONS

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