{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:31:26Z","timestamp":1740105086059,"version":"3.37.3"},"reference-count":34,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,11]],"date-time":"2006-11-11T00:00:00Z","timestamp":1163203200000},"content-version":"vor","delay-in-days":5428,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100004062","name":"JNICT","doi-asserted-by":"crossref","award":["87422\/MATM"],"award-info":[{"award-number":["87422\/MATM"]}],"id":[{"id":"10.13039\/501100004062","id-type":"DOI","asserted-by":"crossref"}]},{"name":"INIC and DAAD"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematische Nachrichten"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This work is motivated by some elliptic boundary and transmission problems in mathematical physics, in particular by elastodynamic wave propagation. The analytical solution of the boundary pseudodifferential equations requires a generalized factorization of the lifted Fourier symbol which is a non\u2010rational matrix\u2010function. In the factorization procedure poles and increasing terms appear, and cause enormous practical and theoretical problems due to the possible occurance of partial indices different from zero. The paper presents an approach which avoids those difficulties by use of a factorization of the symbol matrix into meromorphic factors. An operator theoretic interpretation yields resolvents up to finite dimensional operators, whose ranks are closely related to partial indices, order of the algebraic increase at infinity, and the multiplicities of the poles in the factors.<\/jats:p>","DOI":"10.1002\/mana.19921570124","type":"journal-article","created":{"date-parts":[[2010,6,25]],"date-time":"2010-06-25T21:36:49Z","timestamp":1277501809000},"page":"291-317","source":"Crossref","is-referenced-by-count":21,"title":["Meromorphic Factorization, Partial Index Estimates and Elastodynamic Diffraction Problems<sup>1<\/sup>)"],"prefix":"10.1002","volume":"157","author":[{"given":"M. C.","family":"C\u00e2mara","sequence":"first","affiliation":[]},{"given":"A. B.","family":"Lebre","sequence":"additional","affiliation":[]},{"given":"F.\u2010O.","family":"Speck","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,11]]},"reference":[{"journal-title":"Integral Equations and Operator Theory","article-title":"Wiener\u2010Hopf operators with oscillating symbols and convolution operators on a union of intervals","author":"Bastos M. A.","key":"e_1_2_1_2_2"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1137\/0144048"},{"key":"e_1_2_1_4_2","first-page":"467","article-title":"General Wiener\u2010Hopf operators","author":"Devinatz A.","year":"1969","journal-title":"Trans."},{"volume-title":"Integral Equations with Fixed Singularities","year":"1979","author":"Duduchava R.","key":"e_1_2_1_5_2"},{"volume-title":"Boundary Value Problems for Elliptic Pseudodifferential Equations","year":"1981","author":"Eskin G. 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