On the exact values of coefficients of coiflets

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dc.contributor.author Adolph, Christoph H.
dc.contributor.author Akhunzyanov, R.
dc.contributor.author Alekseev, M. G.
dc.contributor.author Alexakhin, V. Yu.
dc.contributor.author Alexandrov, Yu A.
dc.contributor.author Alexeev, G.D.
dc.contributor.author Amoroso, A.
dc.contributor.author Andrieux, Vincent
dc.contributor.author Anosov, V.
dc.contributor.author Austregesilo, Alexander
dc.contributor.author Badełek, Barbara
dc.contributor.author Balestra, Ferruccio
dc.contributor.author Barth, Jcl.
dc.contributor.author Baum, Günter
dc.contributor.author Beck, Reinhard
dc.contributor.author Bedfer, Yann
dc.contributor.author Berlin, Asher
dc.contributor.author Bernhard, Johannes
dc.contributor.author Bertini, Raimondo
dc.contributor.author Bicker, K.
dc.contributor.author Bieling, Jakob
dc.contributor.author Birsa, Renato
dc.contributor.author Bisplinghoff, Jens
dc.contributor.author Bodlak, Martin
dc.contributor.author Böer, Marie
dc.contributor.author Bordalo, Paula
dc.contributor.author Bradamante, Franco
dc.contributor.author Braun, Christopher
dc.contributor.author Bravar, Alessandro
dc.contributor.author Bressan, Andrea
dc.contributor.author Büchele, M.
dc.contributor.author Burtin, Etienne
dc.contributor.author Capozza, Luigi
dc.contributor.author Chiosso, Michela
dc.contributor.author Chung, Suhurk
dc.contributor.author Cicuttin, Andres
dc.contributor.author Crespo, María Liz
dc.contributor.author Curiel, Q.
dc.contributor.author Dalla Torre, Stefano
dc.contributor.author Dasgupta, Subinay
dc.contributor.author Dasgupta, Shivaji
dc.contributor.author Denisov, Oleg Yu
dc.contributor.author Donskov, Sergey
dc.contributor.author Doshita, Norihiro
dc.contributor.author Duic, Venicio
dc.contributor.author Duenweber, W.
dc.contributor.author Dziewiecki, Michał
dc.contributor.author Efremov, Anatoli Vasilievich
dc.contributor.author Eliay, C.
dc.contributor.author Eversheim, Paul Dieter
dc.contributor.author Eyrich, Wolfgang
dc.contributor.author Faessler, Martin
dc.contributor.author Ferrero, Andrea
dc.contributor.author Filin, Alex P.
dc.contributor.author Finger, Michael
dc.contributor.author Finger, Miroslav, Jr.
dc.contributor.author Fischer, H.
dc.contributor.author Franco, Celso
dc.contributor.author von Hohenesche, N. du Fresne
dc.contributor.author Friedrich, Jan Michael
dc.contributor.author Frolov, Vladimir
dc.contributor.author Garfagnini, Raffaello
dc.contributor.author Gautheron, F.
dc.contributor.author Gavrichtchouk, O.P.
dc.contributor.author Gerassimov, S.
dc.contributor.author Geyer, Reiner
dc.contributor.author Giorgi, Marcello A.
dc.contributor.author Gnesi, I.
dc.contributor.author Gobbo, Benigno
dc.contributor.author Goertz, S.
dc.contributor.author Gorzellik, M.
dc.contributor.author Grabmüller, Stefanie
dc.contributor.author Grasso, Antonino
dc.contributor.author Grube, Boris
dc.contributor.author Gushterski, R.
dc.contributor.author Guskov, Alexey
dc.contributor.author Guthoerl, T.
dc.contributor.author Haas, Florian
dc.contributor.author von Harrach, Dietrich
dc.contributor.author Hahne, Devin
dc.contributor.author Hashimoto, Ryo
dc.contributor.author Heinsius, F.H.
dc.contributor.author Herrmann, Felix
dc.contributor.author Hess, C.
dc.contributor.author Hinterberger, Frank
dc.contributor.author Hoeppner, Ch.
dc.contributor.author Horikawa, Naoaki
dc.contributor.author d'Hose, Nicole
dc.contributor.author Huber, Stefan
dc.contributor.author Ishimoto, Shigeru
dc.contributor.author Ivanov, Andrey
dc.contributor.author Ivanshin, Yu I.
dc.contributor.author Iwata, Takashi
dc.contributor.author Jahn, R.
dc.contributor.author Jary, Vladimír
dc.contributor.author Jasinski, Prometeusz Kryspin
dc.contributor.author Joerg, P.
dc.contributor.author Joosten, R.
dc.contributor.author Kabuss, E.
dc.contributor.author Kang, D.
dc.contributor.author Ketzer, B.
dc.contributor.author Khaustov, G. V.
dc.contributor.author Khokhlov, Yu. A.
dc.contributor.author Kisselev, Yu F.
dc.contributor.author Klein, F.
dc.contributor.author Klimaszewski, K.
dc.contributor.author Koivuniemi, J. H.
dc.contributor.author Kolosov, V. N.
dc.contributor.author Kondo, K.
dc.contributor.author Koenigsmann, K.
dc.contributor.author Konorov, I.
dc.contributor.author Konstantinov, V. F.
dc.contributor.author Kotzinian, A. M.
dc.contributor.author Kouznetsov, O.
dc.contributor.author Kral, Z.
dc.contributor.author Kraemer, M.
dc.contributor.author Kroumchtein, Z. V.
dc.contributor.author Kuchinski, N.
dc.contributor.author Kunne, F.
dc.contributor.author Kurek, K.
dc.contributor.author Kurjata, R. P.
dc.contributor.author Lednev, A. A.
dc.contributor.author Lehmann, A.
dc.contributor.author Levorato, S.
dc.contributor.author Lichtenstadt, J.
dc.contributor.author Maggiora, A.
dc.contributor.author Magnon, A.
dc.contributor.author Makke, N.
dc.contributor.author Mallot, G. K.
dc.contributor.author Marchand, C.
dc.contributor.author Martin, A.
dc.contributor.author Marzec, J.
dc.contributor.author Matousek, Jan
dc.contributor.author Matsuda, H.
dc.contributor.author Matsuda, T.
dc.contributor.author Meshcheryakov, G.
dc.contributor.author Meyer, W.
dc.contributor.author Michigami, T.
dc.contributor.author Mikhailov, Yu. V.
dc.contributor.author Miyachi, Y.
dc.contributor.author Nagaytsev, A.
dc.contributor.author Nagel, T.
dc.contributor.author Nerling, F.
dc.contributor.author Neubert, S.
dc.contributor.author Neyret, D.
dc.contributor.author Nikolaenko, V. I.
dc.contributor.author Novy, J.
dc.contributor.author Nowak, W. -D.
dc.contributor.author Nunes, A. S.
dc.contributor.author Orlov, I.
dc.contributor.author Olshevsky, A. G.
dc.contributor.author Ostrick, M.
dc.contributor.author Panknin, R.
dc.contributor.author Panzieri, D.
dc.contributor.author Parsamyan, B.
dc.contributor.author Paul, S.
dc.contributor.author Pesek, Michael
dc.contributor.author Peshekhonov, D.
dc.contributor.author Piragino, G.
dc.contributor.author Platchkov, S.
dc.contributor.author Pochodzalla, J.
dc.contributor.author Polak, J.
dc.contributor.author Polyakov, V. A.
dc.contributor.author Pretz, J.
dc.contributor.author Quaresma, M.
dc.contributor.author Quintans, C.
dc.contributor.author Ramos, S.
dc.contributor.author Reicherz, G.
dc.contributor.author Rocco, E.
dc.contributor.author Rodionov, V.
dc.contributor.author Rondio, E.
dc.contributor.author Rossiyskaya, N. S.
dc.contributor.author Ryabchikov, D. I.
dc.contributor.author Samoylenko, V. D.
dc.contributor.author Sandacz, A.
dc.contributor.author Sapozhnikov, M. G.
dc.contributor.author Sarkar, S.
dc.contributor.author Savin, I. A.
dc.contributor.author Sbrizzai, G.
dc.contributor.author Schiavon, P.
dc.contributor.author Schill, C.
dc.contributor.author Schlueter, T.
dc.contributor.author Schmidt, A.
dc.contributor.author Schmidt, K.
dc.contributor.author Schmitt, L.
dc.contributor.author Schmiden, H.
dc.contributor.author Schoenning, K.
dc.contributor.author Schopferer, S.
dc.contributor.author Schott, M.
dc.contributor.author Shevchenko, O. Yu.
dc.contributor.author Silva, L.
dc.contributor.author Sinha, L.
dc.contributor.author Sirtl, S.
dc.contributor.author Slunecka, M.
dc.contributor.author Sosio, S.
dc.contributor.author Sozzi, F.
dc.contributor.author Srnka, A.
dc.contributor.author Steiger, L.
dc.contributor.author Stolarski, M.
dc.contributor.author Šulc, Miroslav
dc.contributor.author Sulej, R.
dc.contributor.author Suzuki, H.
dc.contributor.author Szabelski, A.
dc.contributor.author Szameitat, T.
dc.contributor.author Sznajder, P.
dc.contributor.author Takekawa, S.
dc.contributor.author TerWolbeek, J.
dc.contributor.author Tessaro, S.
dc.contributor.author Tessarotto, F.
dc.contributor.author Thibaud, F.
dc.contributor.author Uhl, S.
dc.contributor.author Uman, I.
dc.contributor.author Vandenbroucke, M.
dc.contributor.author Virius, M.
dc.contributor.author Vondra, J.
dc.contributor.author Wang, L.
dc.contributor.author Weisrock, T.
dc.contributor.author Wilfert, M.
dc.contributor.author Windmolders, R.
dc.contributor.author Wislicki, W.
dc.contributor.author Wollny, H.
dc.contributor.author Zaremba, K.
dc.contributor.author Zavertyaev, M.
dc.contributor.author Zemlyanichkina, E.
dc.contributor.author Zhuravlev, N.
dc.contributor.author Ziembicki, M.
dc.contributor.author Černá, Dana
dc.contributor.author Finěk, Václav
dc.contributor.author Najzar, Karel
dc.date.accessioned 2015-10-26
dc.date.available 2015-10-26
dc.date.issued 2014
dc.date.issued 2008
dc.identifier.issn 0370-2693
dc.identifier.issn 1895-1074
dc.identifier.uri https://dspace.tul.cz/handle/15240/16388
dc.identifier.uri https://dspace.tul.cz/handle/15240/13310
dc.description.abstract In 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.sponsorship SCOAP3
dc.format text
dc.format text
dc.language.iso en
dc.language.iso en
dc.publisher Elsevier Science Bv
dc.publisher Technical university of Liberec, Czech Republic en
dc.publisher Technická Univerzita v Liberci cs
dc.relation.ispartof Central European Journal of Mathematics en
dc.source j-wok
dc.source j-scopus
dc.subject coiflet en
dc.subject exact value of filter coefficients en
dc.subject orthonormal wavelet en
dc.title On the exact values of coefficients of coiflets en
dc.type Article
dc.type Article
dc.identifier.doi 10.1016/j.physletb.2014.02.005
dc.identifier.doi 10.2478/s11533-008-0011-2
local.relation.volume 6
local.relation.issue 1
local.identifier.wok 334094500004
local.identifier.scopus 2-s2.0-42649085765
local.faculty Faculty of Sciences, Humanities and Education
local.faculty Faculty of Sciences, Humanities and Education
local.citation.spage 159
local.citation.epage 26
local.citation.epage 169
local.department Department of Physics
local.identifier.stag RIV/00216208:11320/14:10284902
local.access open
local.fulltext yes

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