{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T17:24:22Z","timestamp":1778088262214,"version":"3.51.4"},"reference-count":41,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2002,9,1]],"date-time":"2002-09-01T00:00:00Z","timestamp":1030838400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,8,22]],"date-time":"2013-08-22T00:00:00Z","timestamp":1377129600000},"content-version":"vor","delay-in-days":4008,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Linear Algebra and its Applications"],"published-print":{"date-parts":[[2002,9]]},"DOI":"10.1016\/s0024-3795(02)00288-4","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T22:03:48Z","timestamp":1034287428000},"page":"53-90","source":"Crossref","is-referenced-by-count":29,"title":["Transformation techniques towards the factorization of non-rational 2\u00d72 matrix functions"],"prefix":"10.1016","volume":"353","author":[{"given":"Torsten","family":"Ehrhardt","sequence":"first","affiliation":[]},{"given":"Frank-Olme","family":"Speck","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"6","key":"10.1016\/S0024-3795(02)00288-4_BIB1","doi-asserted-by":"crossref","first-page":"879","DOI":"10.1007\/BF01203119","article-title":"Explicit Wiener\u2013Hopf factorization for certain nonrational matrix functions","volume":"15","author":"Aktosun","year":"1992","journal-title":"Integral Equations Operator Theory"},{"issue":"1\/2","key":"10.1016\/S0024-3795(02)00288-4_BIB2","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1080\/00036819208840114","article-title":"Generalized factorization for a class of 2\u00d72 matrix functions with non-rational entries","volume":"46","author":"Bastos","year":"1992","journal-title":"Appl. Anal."},{"issue":"3\u20134","key":"10.1016\/S0024-3795(02)00288-4_BIB3","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1080\/17476939308814656","article-title":"Generalized factorization for a class 2\u00d72 matrix functions with rationally-independent entries","volume":"22","author":"Bastos","year":"1993","journal-title":"Complex Variables, Theory Appl."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB4","doi-asserted-by":"crossref","unstructured":"A. B\u00f6ttcher, Yu.I. Karlovich, Carleson curves, Muckenhoupt weights, and Toeplitz operators, Progr. Math. 154 (1997)","DOI":"10.1007\/978-3-0348-8922-3_2"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB5","series-title":"Analysis of Toeplitz Operators","author":"B\u00f6ttcher","year":"1990"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB6","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1002\/mana.19921570124","article-title":"Meromorphic factorization, partial index estimates and elastodynamical diffraction problems","volume":"157","author":"C\u00e2mara","year":"1992","journal-title":"Math. Nachr."},{"issue":"3","key":"10.1016\/S0024-3795(02)00288-4_BIB7","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1017\/S0308210500025804","article-title":"Generalized factorization for a class of Jones form matrix functions","volume":"123","author":"C\u00e2mara","year":"1993","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A"},{"issue":"1\u20133","key":"10.1016\/S0024-3795(02)00288-4_BIB8","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0024-3795(00)00203-2","article-title":"Wiener\u2013Hopf factorization for a group of exponentials of nilpotent matrices","volume":"320","author":"C\u00e2mara","year":"2000","journal-title":"Linear Algebra Appl."},{"issue":"6","key":"10.1016\/S0024-3795(02)00288-4_BIB9","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1002\/(SICI)1099-1476(199904)22:6<461::AID-MMA45>3.0.CO;2-R","article-title":"Wiener\u2013Hopf factorization of a generalized Daniele\u2013Khrapkov class of 2\u00d72 matrix symbols","volume":"22","author":"C\u00e2mara","year":"1999","journal-title":"Math. Methods Appl. Sci."},{"issue":"1","key":"10.1016\/S0024-3795(02)00288-4_BIB10","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1006\/jmaa.1995.1068","article-title":"Generalized factorization for Daniele\u2013Khrapkov matrix functions \u2013 partial indices","volume":"190","author":"C\u00e2mara","year":"1995","journal-title":"J. Math. Anal. Appl."},{"issue":"2","key":"10.1016\/S0024-3795(02)00288-4_BIB11","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1006\/jmaa.1995.1079","article-title":"Generalized factorization for Daniele\u2013Khrapkov matrix functions \u2013 explicit formulas","volume":"190","author":"C\u00e2mara","year":"1995","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"10.1016\/S0024-3795(02)00288-4_BIB12","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1017\/S0308210500001529","article-title":"Explicit Wiener\u2013Hopf factorization and Non-linear Riemann\u2013Hilbert problems","volume":"132","author":"C\u00e2mara","year":"2002","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A"},{"issue":"3(69)","key":"10.1016\/S0024-3795(02)00288-4_BIB13","first-page":"199","article-title":"Partial indices for the Riemann boundary-problem with a triangular matrix of second order","volume":"11","author":"\u010cebotarev","year":"1956","journal-title":"Uspekhi Mat. Nauk (N.S.)"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB14","doi-asserted-by":"crossref","unstructured":"K.F. Clancey, I. Gohberg, Factorization of matrix functions and singular integral operators, Oper. Theory: Adv. Appl. 3 (1981)","DOI":"10.1007\/978-3-0348-5492-4_8"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB15","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1137\/0144048","article-title":"On the solution of two coupled Wiener\u2013Hopf equations","volume":"44","author":"Daniele","year":"1984","journal-title":"SIAM J. Math. Anal. Appl."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB16","doi-asserted-by":"crossref","first-page":"157","DOI":"10.24033\/asens.1469","article-title":"Op\u00e9rateurs integraux singuliers sur certaines courbes du plan complexe","volume":"17","author":"David","year":"1984","journal-title":"Ann. Sci. \u00c9cole Norm. Sup."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB17","unstructured":"T. Ehrhardt, I.M. Spitkovsky, Factorization of piecewise constant matrix functions and systems of linear differential equations, Algebra i Analiz 13 (6) (2001) 56\u2013123 in Russian, English version in: St. Petersburg Math. J. 13 (6) (2002), to appear"},{"issue":"4","key":"10.1016\/S0024-3795(02)00288-4_BIB18","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1007\/BF01222017","article-title":"On explicit factorization and applications","volume":"21","author":"Feldman","year":"1995","journal-title":"Integral Equations Operator Theory"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB19","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1090\/S0002-9947-1973-0312139-8","article-title":"Weighted norm inequalities for the conjugate function and Hilbert transform","volume":"176","author":"Hunt","year":"1973","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB20","unstructured":"R.A. Hurd, The explicit factorization of 2\u00d72 Wiener\u2013Hopf matrices, Technische Hochschule Darmstadt, Preprint-Nr. 1040, 1987, pp. 24"},{"issue":"1891","key":"10.1016\/S0024-3795(02)00288-4_BIB21","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1098\/rspa.1991.0101","article-title":"Wiener-hopf splitting of a 2\u00d72 matrix","volume":"434","author":"Jones","year":"1991","journal-title":"Proc. Roy. Soc. London Ser. A"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB22","first-page":"625","article-title":"Certain cases of the elastic equilibrium of an infinite wedge with a non-symmetric notch at the vertex, subject to concentrated force","volume":"35","author":"Khrapkov","year":"1971","journal-title":"Prikl. Mat. Mekh."},{"issue":"3","key":"10.1016\/S0024-3795(02)00288-4_BIB23","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1007\/BF01235740","article-title":"Factorization in the Wiener algebra of a class of 2\u00d72 matrix functions","volume":"12","author":"Lebre","year":"1989","journal-title":"Integral Equations Operator Theory"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB24","unstructured":"A.B. Lebre, Operadores de Wiener\u2013Hopf e Factoriza\u00e7\u00e3o de S\u0131&#x0301;mbolos, Ph.D. Thesis, Instituto Superior T\u00e9cnico, Universidade T\u00e9cnica de Lisboa, 1990"},{"issue":"14","key":"10.1016\/S0024-3795(02)00288-4_BIB25","doi-asserted-by":"crossref","first-page":"1185","DOI":"10.1002\/(SICI)1099-1476(19970925)20:14<1185::AID-MMA909>3.0.CO;2-T","article-title":"Factorization of a class of matrices generated by Sommerfeld diffraction problems with oblique derivatives","volume":"20","author":"Lebre","year":"1997","journal-title":"Math. Methods Appl. Sci."},{"issue":"5","key":"10.1016\/S0024-3795(02)00288-4_BIB26","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1007\/BF01732318","article-title":"Generalized factorization for a class of non-rational 2\u00d72 matrix functions","volume":"13","author":"Lebre","year":"1990","journal-title":"Integral Equations Operator Theory"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB27","doi-asserted-by":"crossref","unstructured":"G.S. Litvinchuk, I.M. Spitkovsky, Factorization of measurable matrix functions, Oper. Theory: Adv. Appl. 25 (1987)","DOI":"10.1007\/978-3-0348-6266-0_5"},{"issue":"9","key":"10.1016\/S0024-3795(02)00288-4_BIB28","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1139\/p84-118","article-title":"On the diffraction problem of a half plane with different face impedances","volume":"62","author":"L\u00fcneburg","year":"1984","journal-title":"Canad. J. Phys."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB29","unstructured":"E. Meister, F.-O., Speck, Modern Wiener\u2013Hopf methods in diffraction theory, Pitman Res. Notes Math. Ser. 216 (1989) 130\u2013171"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB30","doi-asserted-by":"crossref","unstructured":"E. Meister, F.-O. Speck, Wiener\u2013Hopf factorization of certain non-rational matrix functions in mathematical physics, Oper. Theory: Adv. Appl. 41 (1989) 385\u2013394","DOI":"10.1007\/978-3-0348-9144-8_38"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB31","series-title":"Singular Integral Operators","author":"Mikhlin","year":"1986"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB32","unstructured":"I.I. Privalov, Boundary properties of analytic functions, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad 1950 (in Russian)"},{"issue":"1\u20132","key":"10.1016\/S0024-3795(02)00288-4_BIB33","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1017\/S0308210500024616","article-title":"A factorisation procedure for two by two matrix functions on the circle with two rationally independent entries","volume":"115","author":"Pr\u00f6ssdorf","year":"1990","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A"},{"issue":"10","key":"10.1016\/S0024-3795(02)00288-4_BIB34","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1002\/zamm.19810611009","article-title":"The explicit Wiener\u2013Hopf factorisation of a special matrix","volume":"61","author":"Rawlins","year":"1981","journal-title":"Z. Angew. Math. Mech."},{"issue":"3","key":"10.1016\/S0024-3795(02)00288-4_BIB35","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1093\/qjmam\/38.3.433","article-title":"A note on Wiener\u2013Hopf matrix factorization","volume":"38","author":"Rawlins","year":"1985","journal-title":"Quart. J. Mech. Appl. Math."},{"issue":"1","key":"10.1016\/S0024-3795(02)00288-4_BIB36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1093\/qjmam\/34.1.1","article-title":"Matrix Wiener\u2013Hopf factorisation","volume":"34","author":"Rawlins","year":"1981","journal-title":"Quart. J. Mech. Appl. Math."},{"issue":"2","key":"10.1016\/S0024-3795(02)00288-4_BIB37","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/0022-247X(89)90080-2","article-title":"The diffraction problem for a half plane with different face impedances revisited","volume":"140","author":"dos Santos","year":"1989","journal-title":"J. Math. Anal. Appl."},{"issue":"5","key":"10.1016\/S0024-3795(02)00288-4_BIB38","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1070\/IM1968v002n05ABEH000706","article-title":"Some general questions in the theory of the Riemann boundary value problem","volume":"2","author":"Simonenko","year":"1968","journal-title":"Math. USSR Izv."},{"key":"10.1016\/S0024-3795(02)00288-4_BIB39","unstructured":"I.M. Spitkovsky, A.M. Tashbaev, On the efficient factorization of matrix functions, Izv. Vyssh. Uchebn. Zaved. Mat. (in Russian) (4) (1989) 69\u201376 (English trans.: Soviet Math. (Iz. VUZ) 33 (4) (1989) 85\u201393)"},{"issue":"2","key":"10.1016\/S0024-3795(02)00288-4_BIB40","first-page":"291","article-title":"Factorization of piecewise constant matrix functions with 3 points of discontinuity in the classes Lp,\u03c1 and some of its applications (in Russian)","volume":"307","author":"Spitkovsky","year":"1989","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"10.1016\/S0024-3795(02)00288-4_BIB41","unstructured":"F.S. Teixeira, Operadores de Wiener-Hopf em Espa\u00e7os de Sobolev e Aplica\u00e7\u00f5es \u00e0 Teoria da Difrac\u00e7\u00e3o, Ph.D. Thesis, Instituto Superior T\u00e9cnico, Universidade T\u00e9cnica de Lisboa, 1989"}],"container-title":["Linear Algebra and its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379502002884?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379502002884?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T21:29:07Z","timestamp":1555968547000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0024379502002884"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,9]]},"references-count":41,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2002,9]]}},"alternative-id":["S0024379502002884"],"URL":"https:\/\/doi.org\/10.1016\/s0024-3795(02)00288-4","relation":{},"ISSN":["0024-3795"],"issn-type":[{"value":"0024-3795","type":"print"}],"subject":[],"published":{"date-parts":[[2002,9]]}}}