{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T04:03:30Z","timestamp":1649045010670},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Math."],"published-print":{"date-parts":[[2013,6]]},"abstract":"<jats:p> Let j be a nonzero integer and let U be a bounded domain. We construct a Fredholm symbol calculus for the C*-algebra generated by the poly-Bergman projection and the operators of multiplication by continuous functions. We define the j-removal boundary in Hilbert spaces of polyanalytic functions and prove that the quotient poly-Toeplitz C*-algebra generated by cosets of poly-Toeplitz operators with continuous symbols is *-isomorphic to the C*-algebra of continuous functions over the j-essential boundary. Unlike the Bergman case, we also show that if j \u2260 \u00b11 then the j-essential boundary coincides with the set of non-isolated points on the boundary. <\/jats:p>","DOI":"10.1142\/s0129167x13500420","type":"journal-article","created":{"date-parts":[[2013,4,30]],"date-time":"2013-04-30T02:59:46Z","timestamp":1367290786000},"page":"1350042","source":"Crossref","is-referenced-by-count":2,"title":["TOEPLITZ OPERATORS AND THE ESSENTIAL BOUNDARY ON POLYANALYTIC FUNCTIONS"],"prefix":"10.1142","volume":"24","author":[{"given":"LU\u00cdS V.","family":"PESSOA","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Universidade T\u00e9cnica de Lisboa, Av. Rovisco Pais, 1049 - 001 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2013,7]]},"reference":[{"key":"rf1","first-page":"179","volume":"406","author":"Arazy J.","year":"1990","journal-title":"J. Reine Angew. 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