{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T15:47:08Z","timestamp":1649087228695},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2013,12,24]],"date-time":"2013-12-24T00:00:00Z","timestamp":1387843200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer Algor"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1007\/s11075-013-9817-5","type":"journal-article","created":{"date-parts":[[2013,12,23]],"date-time":"2013-12-23T08:42:01Z","timestamp":1387788121000},"page":"691-711","source":"Crossref","is-referenced-by-count":3,"title":["Evaluating polynomials over the unit disk and the unit ball"],"prefix":"10.1007","volume":"67","author":[{"given":"Kendall","family":"Atkinson","sequence":"first","affiliation":[]},{"given":"David","family":"Chien","sequence":"additional","affiliation":[]},{"given":"Olaf","family":"Hansen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,12,24]]},"reference":[{"key":"9817_CR1","unstructured":"Abramowitz, M., Stegun, I.: Handbook of Mathematical Functions. Dover, New York (1965)"},{"key":"9817_CR2","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/s10444-009-9125-8","volume":"33","author":"K Atkinson","year":"2010","unstructured":"Atkinson, K., Chien, D., Hansen, O.: A spectral method for elliptic equations: the Dirichlet problem. Adv. Comput. Math. 33, 169\u2013189 (2010)","journal-title":"Adv. Comput. Math."},{"key":"9817_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-25983-8","volume-title":"Spherical Harmonics and Approximations on the Unit Sphere : An Introduction, Lecture Notes in Mathematics, vol. 2044","author":"K Atkinson","year":"2012","unstructured":"Atkinson, K., Han, W.: Spherical Harmonics and Approximations on the Unit Sphere : An Introduction, Lecture Notes in Mathematics, vol. 2044. Springer-Verlag, New York (2012)"},{"key":"9817_CR4","first-page":"386","volume":"37","author":"K Atkinson","year":"2010","unstructured":"Atkinson, K., Hansen, O.: A spectral method for the eigenvalue problem for elliptic equations. Electron. Trans. Numer. Anal. 37, 386\u2013412 (2010)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"9817_CR5","first-page":"202","volume":"39","author":"K Atkinson","year":"2012","unstructured":"Atkinson, K., Hansen, O.: Creating domain mappings. Electron. Trans. Numer. Anal. 39, 202\u2013230 (2012)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"9817_CR6","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s10444-010-9154-3","volume":"34","author":"K Atkinson","year":"2011","unstructured":"Atkinson, K., Hansen, O., Chien, D.: A spectral method for elliptic equations: the Neumann problem. Adv. Comput. Math. 34, 295\u2013317 (2011)","journal-title":"Adv. Comput. Math."},{"key":"9817_CR7","doi-asserted-by":"crossref","unstructured":"Atkinson, K., Hansen, O., Chien, D.: A spectral method for parabolic differential equations. Numer. Algoritm. doi: 10.1007\/s11075-012-9620-8 , to appear. A preliminary version is available at arXiv: 1203.6709","DOI":"10.1007\/s11075-012-9620-8"},{"key":"9817_CR8","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511565717","volume-title":"Orthogonal Polynomials of Several Variables","author":"C Dunkl","year":"2001","unstructured":"Dunkl, C., Xu, Y.: Orthogonal Polynomials of Several Variables. Cambridge University Press, Cambridge (2001)"},{"key":"9817_CR9","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1093\/imanum\/drm052","volume":"29","author":"O Hansen","year":"2009","unstructured":"Hansen, O., Atkinson, K., Chien, D.: On the norm of the hyperinterpolation operator on the unit disk and its use for the solution of the nonlinear poisson equation. IMA J. Numer. Anal. 29, 257\u2013283 (2009). doi: 10.1093\/imanum\/drm052","journal-title":"IMA J. Numer. Anal."},{"key":"9817_CR10","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1215\/S0012-7094-75-04256-8","volume":"42","author":"B Logan","year":"1975","unstructured":"Logan, B., Shepp, L.: Optimal reconstruction of a function from its projections. Duke Math. J. 42, 645\u2013659 (1975)","journal-title":"Duke Math. J."},{"key":"9817_CR11","volume-title":"NIST Handbook of Mathematical Functions","author":"F Olver","year":"2010","unstructured":"Olver, F., Lozier, D., Boisvert, R., Clark, C.: NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge (2010)"},{"key":"9817_CR12","volume-title":"Approximate Calculation of Multiple Integrals","author":"A Stroud","year":"1971","unstructured":"Stroud, A.: Approximate Calculation of Multiple Integrals. Prentice-Hall, Englewood Cliffs (1971)"},{"key":"9817_CR13","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1006\/jath.2001.3597","volume":"112","author":"Y Xu","year":"2001","unstructured":"Xu, Y.: Representation of reproducing kernels and the Lebesgue constants on the ball. J. Approx. Theor. 112, 295\u2013310 (2001)","journal-title":"J. Approx. Theor."},{"key":"9817_CR14","unstructured":"Xu, Y.: Lecture notes on orthogonal polynomials of several variables. In: Advances in the Theory of Special Functions & Orthogonal Polynomials, pp. 135\u2013188. Nova Sci. Pub., Commack (2004)"}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-013-9817-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11075-013-9817-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11075-013-9817-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T05:08:23Z","timestamp":1559365703000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11075-013-9817-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12,24]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2014,12]]}},"alternative-id":["9817"],"URL":"https:\/\/doi.org\/10.1007\/s11075-013-9817-5","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,12,24]]}}}