{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T19:32:10Z","timestamp":1698780730750},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,6,1]],"date-time":"2010-06-01T00:00:00Z","timestamp":1275350400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complex Anal. Oper. Theory"],"published-print":{"date-parts":[[2012,2]]},"DOI":"10.1007\/s11785-010-0083-4","type":"journal-article","created":{"date-parts":[[2010,5,31]],"date-time":"2010-05-31T09:41:33Z","timestamp":1275298893000},"page":"307-324","source":"Crossref","is-referenced-by-count":16,"title":["General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces"],"prefix":"10.1007","volume":"6","author":[{"given":"L. P.","family":"Castro","sequence":"first","affiliation":[]},{"given":"S.","family":"Saitoh","sequence":"additional","affiliation":[]},{"given":"Y.","family":"Sawano","sequence":"additional","affiliation":[]},{"given":"A. M.","family":"Sim\u00f5es","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,6,1]]},"reference":[{"key":"83_CR1","doi-asserted-by":"crossref","unstructured":"Asaduzzaman, M., Matsuura, T., Saitoh, S.: Constructions of approximate solutions for linear differential equations by reproducing kernels and inverse problems. In: Advances in Analysis, Proceedings of the 4th International ISAAC Congress, pp. 335\u2013344. World Scientific, Singapore (2005)","DOI":"10.1142\/9789812701732_0030"},{"key":"83_CR2","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1080\/00036810903569523","volume":"89","author":"L.P. Castro","year":"2010","unstructured":"Castro L.P., Chen Q., Saitoh S.: Source inversion of heat conduction from a finite number of observation data. Appl. Anal. 89, 801\u2013813 (2010)","journal-title":"Appl. Anal."},{"key":"83_CR3","doi-asserted-by":"crossref","unstructured":"Higgins, J.R.: A sampling principle associated with Saitoh\u2019s fundamental theory of linear transformations. In: Analytic Extension Formulas and Their Applications. International Society of Analytical Applications and Computing, vol. 9, pp. 73\u201386. Kluwer, Dordrecht (2001)","DOI":"10.1007\/978-1-4757-3298-6_6"},{"key":"83_CR4","first-page":"76","volume":"12","author":"H. Itou","year":"2007","unstructured":"Itou H., Saitoh S.: Analytical and numerical solutions of linear singular integral equations. Int. J. Appl. Math. Stat. 12, 76\u201389 (2007)","journal-title":"Int. J. Appl. Math. Stat."},{"key":"83_CR5","unstructured":"Iwamura, K., Matsuura, T., Saitoh, S.: A numerical construction of a natural inverse of any matrix by using the theory of reproducing kernels with the Tikhonov regularization. Far East J. Math. Edu. (to appear)"},{"key":"83_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0219530505000443","volume":"3","author":"T. Matsuura","year":"2005","unstructured":"Matsuura T., Saitoh S.: Analytical and numerical solutions of linear ordinary differential equations with constant coefficients. J. Anal. Appl. 3, 1\u201317 (2005)","journal-title":"J. Anal. Appl."},{"key":"83_CR7","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1080\/00036810412331297208","volume":"84","author":"T. Matsuura","year":"2005","unstructured":"Matsuura T., Saitoh S.: Dirichlet\u2019s principle using computers. Appl. Anal. 84, 989\u20131003 (2005)","journal-title":"Appl. Anal."},{"key":"83_CR8","doi-asserted-by":"crossref","first-page":"901","DOI":"10.1080\/00036810600643662","volume":"85","author":"T. Matsuura","year":"2006","unstructured":"Matsuura T., Saitoh S.: Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley\u2013Wiener spaces. Appl. Anal. 85, 901\u2013915 (2006)","journal-title":"Appl. Anal."},{"key":"83_CR9","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1090\/S0002-9939-1983-0706514-9","volume":"89","author":"S. Saitoh","year":"1983","unstructured":"Saitoh S.: Hilbert spaces induced by Hilbert space valued functions. Proc. Am. Math. Soc. 89, 74\u201378 (1983)","journal-title":"Proc. Am. Math. Soc."},{"key":"83_CR10","unstructured":"Saitoh, S.: Integral transforms, reproducing kernels and their applications. In: Pitman Research Notes in Mathematics Series, vol. 369. Longman, Harlow (1997)"},{"key":"83_CR11","doi-asserted-by":"crossref","unstructured":"Stenger, F.: Numerical methods based on sinc and analytic functions. In: Springer Series in Computational Mathematics, vol. 20. Springer, New York (1993)","DOI":"10.1007\/978-1-4612-2706-9"}],"container-title":["Complex Analysis and Operator Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11785-010-0083-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11785-010-0083-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11785-010-0083-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T18:32:17Z","timestamp":1559413937000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11785-010-0083-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,2]]}},"alternative-id":["83"],"URL":"https:\/\/doi.org\/10.1007\/s11785-010-0083-4","relation":{},"ISSN":["1661-8254","1661-8262"],"issn-type":[{"value":"1661-8254","type":"print"},{"value":"1661-8262","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,6,1]]}}}