{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:34:31Z","timestamp":1753882471809,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,14]],"date-time":"2006-11-14T00:00:00Z","timestamp":1163462400000},"content-version":"vor","delay-in-days":317,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Portuguese Science Foundation"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2006,1]]},"abstract":"<jats:p>A characterization of the invertibility of a class of matrix Wiener\u2010Hopf plus Hankel operators is obtained based on a factorization of the Fourier symbols  which belong to the Wiener subclass of the almost periodic matrix functions. Additionally, a representation of the inverse, lateral inverses, and generalized inverses is presented for each\ncorresponding possible case.<\/jats:p>","DOI":"10.1155\/ijmms\/2006\/38152","type":"journal-article","created":{"date-parts":[[2006,11,16]],"date-time":"2006-11-16T07:16:04Z","timestamp":1163661364000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Invertibility of matrix Wiener\u2010Hopf plus Hankel operators with  <i>A<\/i><i>P<\/i><i>W<\/i>  Fourier symbols"],"prefix":"10.1155","volume":"2006","author":[{"given":"G.","family":"Bogveradze","sequence":"first","affiliation":[]},{"given":"L. P.","family":"Castro","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,14]]},"reference":[{"key":"e_1_2_1_1_2","first-page":"411","article-title":"Factorization theory for a class of Toeplitz + Hankel operators","volume":"51","author":"Basor E. L.","year":"2004","journal-title":"Journal of Operator Theory"},{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/414\/07800"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8152-4"},{"key":"e_1_2_1_4_2","first-page":"193","article-title":"Inversion of matrix convolution type operators with symmetry","volume":"62","author":"Castro L. P.","year":"2005","journal-title":"Portugaliae Mathematica. Nova S\u00e9rie"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1216\/jiea\/1181074982"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/mana.200310166"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-7926-2_27"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00020\u2010005\u20101410\u20104"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.62.4.1010"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022\u20101236(03)00113\u20107"},{"key":"e_1_2_1_11_2","first-page":"1312","article-title":"Wiener-Hopf integro-difference equations","volume":"9","author":"Gohberg I. C.","year":"1968","journal-title":"Soviet Mathematics. Doklady"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0183-0"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-1180-5"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.4171\/zaa\/626"},{"key":"e_1_2_1_15_2","first-page":"537","article-title":"Factorization of Wiener-Hopf plus Hankel operators with A\n                  P\n                  W Fourier symbols","volume":"14","author":"Nolasco A. P.","year":"2004","journal-title":"International Journal of Pure and Applied Mathematics"},{"key":"e_1_2_1_16_2","series-title":"Report MATH","volume-title":"Algebras of Convolution Operators and Their Image in the Calkin Algebra","author":"Roch S.","year":"1990"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2006\/038152.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/IJMMS\/2006\/38152","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T21:00:10Z","timestamp":1717707610000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/IJMMS\/2006\/38152"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1155\/IJMMS\/2006\/38152"],"URL":"https:\/\/doi.org\/10.1155\/ijmms\/2006\/38152","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2006,1]]},"assertion":[{"value":"2006-11-14","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"038152"}}