{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T20:27:15Z","timestamp":1767904035025,"version":"3.49.0"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1999,6,1]],"date-time":"1999-06-01T00:00:00Z","timestamp":928195200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AACA"],"published-print":{"date-parts":[[1999,6]]},"DOI":"10.1007\/bf03041935","type":"journal-article","created":{"date-parts":[[2009,5,29]],"date-time":"2009-05-29T01:57:11Z","timestamp":1243562231000},"page":"23-40","source":"Crossref","is-referenced-by-count":16,"title":["On the \u03a0-operator in hyperholomorphic function theory"],"prefix":"10.1007","volume":"9","author":[{"given":"K.","family":"G\u00fcrlebeck","sequence":"first","affiliation":[]},{"given":"U.","family":"Kahler","sequence":"additional","affiliation":[]},{"given":"M.","family":"Shapiro","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF03041935_CR1","volume-title":"Clifford Analysis,Research Notes in Mathematics","author":"F. Brackx","year":"1982","unstructured":"Brackx F., R. Delanghe and F. Sommen, Clifford Analysis,Research Notes in Mathematics,76, Pitman Advanced Publishing Program, London, 1982."},{"issue":"2","key":"BF03041935_CR2","first-page":"283","volume":"15","author":"K. G\u00fcrlebeck","year":"1996","unstructured":"G\u00fcrlebeck K. and U. K\u00e4hler, On a spatial generalization of the complex II-operator,J. Anal. Appl.,15 2, 283\u2013297, (1996).","journal-title":"J. Anal. Appl."},{"key":"BF03041935_CR3","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1002\/(SICI)1099-1476(19970710)20:10<867::AID-MMA888>3.0.CO;2-W","volume":"20","author":"K. G\u00fcrlebeck","year":"1997","unstructured":"G\u00fcrlebeck K. and U. K\u00e4hler, On a boundary value problem of the biharmonic equation,Math. Meth. in the Applied Sciences,20 867\u2013883, (1997).","journal-title":"Math. Meth. in the Applied Sciences"},{"key":"BF03041935_CR4","series-title":"ISNM","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-7295-9","volume-title":"Quaternionic analysis and Elliptic Boundary Value Problems","author":"K. G\u00fcrlebeck","year":"1990","unstructured":"G\u00fcrlebeck K. and W. Spr\u00f6\u00dfig. \u201cQuaternionic analysis and Elliptic Boundary Value Problems\u201d, ISNM 89, Birkh\u00e4user Verlag, Basel, 1990."},{"key":"BF03041935_CR5","volume-title":"Quaternionic and Clifford calculus for Engineers and Physicists","author":"K. G\u00fcrlebeck","year":"1997","unstructured":"G\u00fcrlebeck K. and W. Spr\u00f6\u00dfig, \u201cQuaternionic and Clifford calculus for Engineers and Physicists\u201d, John Wiley & Sons, Chichester, 1997."},{"key":"BF03041935_CR6","first-page":"69","volume-title":"Analytical and Numerical Methods in Quaternionic and Clifford Analysis","author":"U. K\u00e4hler","year":"1997","unstructured":"K\u00e4hler U., Application of hypercomplex II-operators to the solution of Beltrami systems\u2019, in \u201cAnalytical and Numerical Methods in Quaternionic and Clifford Analysis\u201d, ed. by W. Spr\u00f6\u00dfig and K. G\u00fcrlebeck, Freiberger Forschungshefte, Freiberg, 69\u201375 1997."},{"key":"BF03041935_CR7","series-title":"Research Notes in Mathematics","volume-title":"Integral representations for spatial models of mathematical physics","author":"V. V. Kravchenko","year":"1996","unstructured":"Kravchenko V. V. and M. V. Shapiro, Integral representations for spatial models of mathematical physics,Research Notes in Mathematics,351, Pitman Advanced Publishing Program, London, 1996."},{"key":"BF03041935_CR8","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1007\/BF03323118","volume":"22","author":"H. Malonek","year":"1992","unstructured":"Malonek H. and B. M\u00fcller, Definition and properties of a hypercomplex singular integral operator,Results in Mathematics,22, 713\u2013724 (1992).","journal-title":"Results in Mathematics"},{"key":"BF03041935_CR9","volume-title":"Singul\u00e4re Integraloperatoren","author":"S. G. Michlin","year":"1980","unstructured":"Michlin S. G. and S. Pr\u00f6\u00dfdorf,Singul\u00e4re Integraloperatoren, Akademie-Verlag, Berlin, 1980."},{"key":"BF03041935_CR10","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1002\/mana.19951720116","volume":"172","author":"I. M. Mitelman","year":"1995","unstructured":"Mitelman I. M. and M. V. Shapiro, Differentiation of the Martinelli-Bochner Integrals and the Notion of Hyperderivability,Math. Nachr.,172, 211\u2013238 (1995).","journal-title":"Math. Nachr."},{"key":"BF03041935_CR11","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/978-94-011-2006-7_22","volume-title":"On the Bergman kernel function in the Clifford analysis, \u201cClifford Algebras and their Applications in Mathematical Physics\u201d","author":"M. V. Shapiro","year":"1993","unstructured":"Shapiro M. V. and N. L. Vasilevski, On the Bergman kernel function in the Clifford analysis, \u201cClifford Algebras and their Applications in Mathematical Physics\u201d, ed. by F. Brackx, R. Delanghe, and H. Serras, Kluwer, Dordrecht, 183\u2013192, 1993."},{"issue":"1","key":"BF03041935_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1017916828448","volume":"46","author":"M. V. Shapiro","year":"1997","unstructured":"Shapiro M. V. and N. L. Vasilevski, On the Bergman kernel function in hypercomplex analysis,Acta Appl. Math.,46 (1), 1\u201327 (1997).","journal-title":"Acta Appl. Math."},{"key":"BF03041935_CR13","first-page":"1035","volume":"5","author":"\u0412. \u0418. \u0428\u0435\u0432\u0447\u0435\u043d\u043a\u043e","year":"1962","unstructured":"\u0428\u0435\u0432\u0447\u0435\u043d\u043a\u043e \u0412. \u0418.,\u041e \u043b\u043e\u043a\u0430\u043b\u044c\u043d\u043e\u043c \u0437\u043e\u043c\u0435\u043e\u043c\u043e\u0440\u0444\u0443\u0437\u043c\u0435 \u043c\u0440\u0435\u0445\u043c\u0435\u0440\u043d\u043e\u0437\u043e \u043d\u0440\u043e\u0441\u043c\u0440\u0430\u043d\u0441\u043c\u0432\u0430, \u043e\u0441\u0443\u0449\u0435\u0441\u043c\u0432\u043b\u044f\u0435\u043c\u043e\u043c \u0440\u0435\u0448\u0435\u043d\u0443\u0435\u043c \u043d\u0435\u043a\u043e\u043c\u043e\u0440\u043e\u0443 \u0435\u043b\u043b\u0438\u043d\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0443 \u0441\u0438\u0441\u043c\u0435\u043c\u044b. \u0414\u043e\u043a\u043b\u0430\u0434\u044b \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a CCCP5, 1035\u20131038, (1962).","journal-title":"\u0414\u043e\u043a\u043b\u0430\u0434\u044b \u0410\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u041d\u0430\u0443\u043a CCCP"},{"key":"BF03041935_CR14","unstructured":"Spr\u00f6\u00dfig W., \u201c\u00dcber eine mehrdimensionale Operatorrechnung \u00fcber beschr\u00e4nkten Gebieten des \u211d n \u201d, Thesis, TH Karl-Marx-Stadt, 1979."}],"container-title":["Advances in Applied Clifford Algebras"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03041935.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF03041935\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03041935","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T01:17:13Z","timestamp":1558574233000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF03041935"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1999,6]]}},"alternative-id":["BF03041935"],"URL":"https:\/\/doi.org\/10.1007\/bf03041935","relation":{},"ISSN":["0188-7009","1661-4909"],"issn-type":[{"value":"0188-7009","type":"print"},{"value":"1661-4909","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,6]]}}}