On the exact values of coefficients of coiflets

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dc.contributor.authorAdolph, Christoph H.
dc.contributor.authorAkhunzyanov, R.
dc.contributor.authorAlekseev, M. G.
dc.contributor.authorAlexakhin, V. Yu.
dc.contributor.authorAlexandrov, Yu A.
dc.contributor.authorAlexeev, G.D.
dc.contributor.authorAmoroso, A.
dc.contributor.authorAndrieux, Vincent
dc.contributor.authorAnosov, V.
dc.contributor.authorAustregesilo, Alexander
dc.contributor.authorBadełek, Barbara
dc.contributor.authorBalestra, Ferruccio
dc.contributor.authorBarth, Jcl.
dc.contributor.authorBaum, Günter
dc.contributor.authorBeck, Reinhard
dc.contributor.authorBedfer, Yann
dc.contributor.authorBerlin, Asher
dc.contributor.authorBernhard, Johannes
dc.contributor.authorBertini, Raimondo
dc.contributor.authorBicker, K.
dc.contributor.authorBieling, Jakob
dc.contributor.authorBirsa, Renato
dc.contributor.authorBisplinghoff, Jens
dc.contributor.authorBodlak, Martin
dc.contributor.authorBöer, Marie
dc.contributor.authorBordalo, Paula
dc.contributor.authorBradamante, Franco
dc.contributor.authorBraun, Christopher
dc.contributor.authorBravar, Alessandro
dc.contributor.authorBressan, Andrea
dc.contributor.authorBüchele, M.
dc.contributor.authorBurtin, Etienne
dc.contributor.authorCapozza, Luigi
dc.contributor.authorChiosso, Michela
dc.contributor.authorChung, Suhurk
dc.contributor.authorCicuttin, Andres
dc.contributor.authorCrespo, María Liz
dc.contributor.authorCuriel, Q.
dc.contributor.authorDalla Torre, Stefano
dc.contributor.authorDasgupta, Subinay
dc.contributor.authorDasgupta, Shivaji
dc.contributor.authorDenisov, Oleg Yu
dc.contributor.authorDonskov, Sergey
dc.contributor.authorDoshita, Norihiro
dc.contributor.authorDuic, Venicio
dc.contributor.authorDuenweber, W.
dc.contributor.authorDziewiecki, Michał
dc.contributor.authorEfremov, Anatoli Vasilievich
dc.contributor.authorEliay, C.
dc.contributor.authorEversheim, Paul Dieter
dc.contributor.authorEyrich, Wolfgang
dc.contributor.authorFaessler, Martin
dc.contributor.authorFerrero, Andrea
dc.contributor.authorFilin, Alex P.
dc.contributor.authorFinger, Michael
dc.contributor.authorFinger, Miroslav, Jr.
dc.contributor.authorFischer, H.
dc.contributor.authorFranco, Celso
dc.contributor.authorvon Hohenesche, N. du Fresne
dc.contributor.authorFriedrich, Jan Michael
dc.contributor.authorFrolov, Vladimir
dc.contributor.authorGarfagnini, Raffaello
dc.contributor.authorGautheron, F.
dc.contributor.authorGavrichtchouk, O.P.
dc.contributor.authorGerassimov, S.
dc.contributor.authorGeyer, Reiner
dc.contributor.authorGiorgi, Marcello A.
dc.contributor.authorGnesi, I.
dc.contributor.authorGobbo, Benigno
dc.contributor.authorGoertz, S.
dc.contributor.authorGorzellik, M.
dc.contributor.authorGrabmüller, Stefanie
dc.contributor.authorGrasso, Antonino
dc.contributor.authorGrube, Boris
dc.contributor.authorGushterski, R.
dc.contributor.authorGuskov, Alexey
dc.contributor.authorGuthoerl, T.
dc.contributor.authorHaas, Florian
dc.contributor.authorvon Harrach, Dietrich
dc.contributor.authorHahne, Devin
dc.contributor.authorHashimoto, Ryo
dc.contributor.authorHeinsius, F.H.
dc.contributor.authorHerrmann, Felix
dc.contributor.authorHess, C.
dc.contributor.authorHinterberger, Frank
dc.contributor.authorHoeppner, Ch.
dc.contributor.authorHorikawa, Naoaki
dc.contributor.authord'Hose, Nicole
dc.contributor.authorHuber, Stefan
dc.contributor.authorIshimoto, Shigeru
dc.contributor.authorIvanov, Andrey
dc.contributor.authorIvanshin, Yu I.
dc.contributor.authorIwata, Takashi
dc.contributor.authorJahn, R.
dc.contributor.authorJary, Vladimír
dc.contributor.authorJasinski, Prometeusz Kryspin
dc.contributor.authorJoerg, P.
dc.contributor.authorJoosten, R.
dc.contributor.authorKabuss, E.
dc.contributor.authorKang, D.
dc.contributor.authorKetzer, B.
dc.contributor.authorKhaustov, G. V.
dc.contributor.authorKhokhlov, Yu. A.
dc.contributor.authorKisselev, Yu F.
dc.contributor.authorKlein, F.
dc.contributor.authorKlimaszewski, K.
dc.contributor.authorKoivuniemi, J. H.
dc.contributor.authorKolosov, V. N.
dc.contributor.authorKondo, K.
dc.contributor.authorKoenigsmann, K.
dc.contributor.authorKonorov, I.
dc.contributor.authorKonstantinov, V. F.
dc.contributor.authorKotzinian, A. M.
dc.contributor.authorKouznetsov, O.
dc.contributor.authorKral, Z.
dc.contributor.authorKraemer, M.
dc.contributor.authorKroumchtein, Z. V.
dc.contributor.authorKuchinski, N.
dc.contributor.authorKunne, F.
dc.contributor.authorKurek, K.
dc.contributor.authorKurjata, R. P.
dc.contributor.authorLednev, A. A.
dc.contributor.authorLehmann, A.
dc.contributor.authorLevorato, S.
dc.contributor.authorLichtenstadt, J.
dc.contributor.authorMaggiora, A.
dc.contributor.authorMagnon, A.
dc.contributor.authorMakke, N.
dc.contributor.authorMallot, G. K.
dc.contributor.authorMarchand, C.
dc.contributor.authorMartin, A.
dc.contributor.authorMarzec, J.
dc.contributor.authorMatousek, Jan
dc.contributor.authorMatsuda, H.
dc.contributor.authorMatsuda, T.
dc.contributor.authorMeshcheryakov, G.
dc.contributor.authorMeyer, W.
dc.contributor.authorMichigami, T.
dc.contributor.authorMikhailov, Yu. V.
dc.contributor.authorMiyachi, Y.
dc.contributor.authorNagaytsev, A.
dc.contributor.authorNagel, T.
dc.contributor.authorNerling, F.
dc.contributor.authorNeubert, S.
dc.contributor.authorNeyret, D.
dc.contributor.authorNikolaenko, V. I.
dc.contributor.authorNovy, J.
dc.contributor.authorNowak, W. -D.
dc.contributor.authorNunes, A. S.
dc.contributor.authorOrlov, I.
dc.contributor.authorOlshevsky, A. G.
dc.contributor.authorOstrick, M.
dc.contributor.authorPanknin, R.
dc.contributor.authorPanzieri, D.
dc.contributor.authorParsamyan, B.
dc.contributor.authorPaul, S.
dc.contributor.authorPesek, Michael
dc.contributor.authorPeshekhonov, D.
dc.contributor.authorPiragino, G.
dc.contributor.authorPlatchkov, S.
dc.contributor.authorPochodzalla, J.
dc.contributor.authorPolak, J.
dc.contributor.authorPolyakov, V. A.
dc.contributor.authorPretz, J.
dc.contributor.authorQuaresma, M.
dc.contributor.authorQuintans, C.
dc.contributor.authorRamos, S.
dc.contributor.authorReicherz, G.
dc.contributor.authorRocco, E.
dc.contributor.authorRodionov, V.
dc.contributor.authorRondio, E.
dc.contributor.authorRossiyskaya, N. S.
dc.contributor.authorRyabchikov, D. I.
dc.contributor.authorSamoylenko, V. D.
dc.contributor.authorSandacz, A.
dc.contributor.authorSapozhnikov, M. G.
dc.contributor.authorSarkar, S.
dc.contributor.authorSavin, I. A.
dc.contributor.authorSbrizzai, G.
dc.contributor.authorSchiavon, P.
dc.contributor.authorSchill, C.
dc.contributor.authorSchlueter, T.
dc.contributor.authorSchmidt, A.
dc.contributor.authorSchmidt, K.
dc.contributor.authorSchmitt, L.
dc.contributor.authorSchmiden, H.
dc.contributor.authorSchoenning, K.
dc.contributor.authorSchopferer, S.
dc.contributor.authorSchott, M.
dc.contributor.authorShevchenko, O. Yu.
dc.contributor.authorSilva, L.
dc.contributor.authorSinha, L.
dc.contributor.authorSirtl, S.
dc.contributor.authorSlunecka, M.
dc.contributor.authorSosio, S.
dc.contributor.authorSozzi, F.
dc.contributor.authorSrnka, A.
dc.contributor.authorSteiger, L.
dc.contributor.authorStolarski, M.
dc.contributor.authorŠulc, Miroslav
dc.contributor.authorSulej, R.
dc.contributor.authorSuzuki, H.
dc.contributor.authorSzabelski, A.
dc.contributor.authorSzameitat, T.
dc.contributor.authorSznajder, P.
dc.contributor.authorTakekawa, S.
dc.contributor.authorTerWolbeek, J.
dc.contributor.authorTessaro, S.
dc.contributor.authorTessarotto, F.
dc.contributor.authorThibaud, F.
dc.contributor.authorUhl, S.
dc.contributor.authorUman, I.
dc.contributor.authorVandenbroucke, M.
dc.contributor.authorVirius, M.
dc.contributor.authorVondra, J.
dc.contributor.authorWang, L.
dc.contributor.authorWeisrock, T.
dc.contributor.authorWilfert, M.
dc.contributor.authorWindmolders, R.
dc.contributor.authorWislicki, W.
dc.contributor.authorWollny, H.
dc.contributor.authorZaremba, K.
dc.contributor.authorZavertyaev, M.
dc.contributor.authorZemlyanichkina, E.
dc.contributor.authorZhuravlev, N.
dc.contributor.authorZiembicki, M.
dc.contributor.authorČerná, Dana
dc.contributor.authorFiněk, Václav
dc.contributor.authorNajzar, Karel
dc.date.accessioned2015-10-26
dc.date.available2015-10-26
dc.date.issued2014
dc.date.issued2008
dc.description.abstractIn 1989, R. Coifman suggested the design of orthonormal wavelet systems with vanishing moments for both scaling and wavelet functions. They were first constructed by I. Daubechies [15, 16], and she named them coiflets. In this paper, we propose a system of necessary conditions which is redundant free and simpler than the known system due to the elimination of some quadratic conditions, thus the construction of coiflets is simplified and enables us to find the exact values of the scaling coefficients of coiflets up to length 8 and two further with length 12. Furthermore for scaling coefficients of coiflets up to length 14 we obtain two quadratic equations, which can be transformed into a polynomial of degree 4 for which there is an algebraic formula to solve them. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2008.en
dc.description.sponsorshipSCOAP3
dc.formattext
dc.formattext
dc.identifier.doi10.1016/j.physletb.2014.02.005
dc.identifier.doi10.2478/s11533-008-0011-2
dc.identifier.issn0370-2693
dc.identifier.issn1895-1074
dc.identifier.scopus2-s2.0-42649085765
dc.identifier.urihttps://dspace.tul.cz/handle/15240/16388
dc.identifier.urihttps://dspace.tul.cz/handle/15240/13310
dc.language.isoen
dc.language.isoen
dc.publisherElsevier Science Bv
dc.publisherTechnical university of Liberec, Czech Republicen
dc.publisherTechnická Univerzita v Libercics
dc.relation.ispartofCentral European Journal of Mathematicsen
dc.sourcej-wok
dc.sourcej-scopus
dc.subjectcoifleten
dc.subjectexact value of filter coefficientsen
dc.subjectorthonormal waveleten
dc.titleOn the exact values of coefficients of coifletsen
dc.typeArticle
dc.typeArticle
local.accessopen
local.citation.epage26
local.citation.epage169
local.citation.spage159
local.departmentDepartment of Physics
local.facultyFaculty of Sciences, Humanities and Education
local.facultyFaculty of Sciences, Humanities and Education
local.fulltextyes
local.identifier.stagRIV/00216208:11320/14:10284902
local.identifier.wok334094500004
local.relation.issue1
local.relation.volume6
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