{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:25:36Z","timestamp":1757312736355,"version":"3.40.5"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Computational Mathematics"],"published-print":{"date-parts":[[2004,1]]},"DOI":"10.1023\/a:1025851005416","type":"journal-article","created":{"date-parts":[[2003,10,24]],"date-time":"2003-10-24T19:29:37Z","timestamp":1067023777000},"page":"247-260","source":"Crossref","is-referenced-by-count":13,"title":["Polynomial Interpolation on the Unit Sphere and on the Unit Ball"],"prefix":"10.1007","volume":"20","author":[{"given":"Yuan","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5109563_CR1","doi-asserted-by":"crossref","first-page":"1780","DOI":"10.1137\/S0036142901383478","volume":"39","author":"B. Bojanov","year":"2002","unstructured":"B. Bojanov and Y. Xu, On a Hermite interpolation by polynomials of two variables, SIAM J. Numer. Anal. 39 (2002) 1780\u20131793.","journal-title":"SIAM J. Numer. Anal."},{"key":"5109563_CR2","unstructured":"B. Bojanov and Y. Xu, Polynomial interpolation of two variables based on a factorization method, J. Approx. Theory, to appear."},{"key":"5109563_CR3","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/BF02571803","volume":"210","author":"C. de Boor","year":"1992","unstructured":"C. de Boor and A. Ron, The least solution for the polynomial interpolation problem, Math. Z. 210 (1992) 347\u2013378.","journal-title":"Math. Z."},{"key":"5109563_CR4","unstructured":"N.L. Fern\u00e1ndez, Polynomial bases on the sphere, in: Proc. of the 3rd Internat. Meeting on Approximation Theory, Witten, Germany, 20-24 August 2001, International Series on Numerical Mathematics (Birkh\u00e4user, Basel) to appear."},{"key":"5109563_CR5","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1023\/A:1018981505752","volume":"12","author":"M. Gasca","year":"2000","unstructured":"M. Gasca and T. Sauer, Polynomial interpolation in several variables, Adv. Comput. Math. 12 (2000) 377\u2013410.","journal-title":"Adv. Comput. Math."},{"key":"5109563_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s003650010028","volume":"17","author":"M.V. Golitschek","year":"2001","unstructured":"M.V. Golitschek and W.A. Light, Interpolation by polynomials and radial basis functions on spheres, Constr. Approx. 17 (2001) 1\u201318.","journal-title":"Constr. Approx."},{"key":"5109563_CR7","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1006\/jath.2001.3667","volume":"116","author":"H. Hakopian","year":"2002","unstructured":"H. Hakopian and S. Ismaeil, On a bivariate interpolation problem, J. Approx. Theory 116 (2002) 76\u201399.","journal-title":"J. Approx. Theory"},{"key":"5109563_CR8","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1023\/A:1016630227163","volume":"14","author":"I.H. Sloan","year":"2001","unstructured":"I.H. Sloan and R.S. Womersley, How good can polynomial interpolation on the sphere be?, Adv. Comput. Math. 14 (2001) 195\u2013226.","journal-title":"Adv. Comput. Math."},{"key":"5109563_CR9","volume-title":"Approximate Calculation of Multiple Integrals","author":"A. Stroud","year":"1971","unstructured":"A. Stroud, Approximate Calculation of Multiple Integrals (Prentice-Hall, Englewood Cliffs, NJ, 1971)."},{"key":"5109563_CR10","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1137\/S0036141096307357","volume":"29","author":"Y. Xu","year":"1998","unstructured":"Y. Xu, Orthogonal polynomials and cubature formulae on spheres and on balls, SIAM J. Math. Anal. 29 (1998) 779\u2013793.","journal-title":"SIAM J. Math. Anal."},{"key":"5109563_CR11","doi-asserted-by":"crossref","first-page":"169","DOI":"10.4310\/MAA.1998.v5.n2.a5","volume":"5","author":"Y. Xu","year":"1998","unstructured":"Y. Xu, Orthogonal polynomials and cubature formulae on spheres and on simplices, Methods Anal. Appl. 5 (1998) 169\u2013184.","journal-title":"Methods Anal. Appl."},{"key":"5109563_CR12","unstructured":"Y. Xu, Polynomial interpolation on the unit sphere, SIAM J. Numer. Anal., to appear."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025851005416.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1025851005416\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025851005416.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T23:25:01Z","timestamp":1747437901000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1025851005416"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":12,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["5109563"],"URL":"https:\/\/doi.org\/10.1023\/a:1025851005416","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"type":"print","value":"1019-7168"},{"type":"electronic","value":"1572-9044"}],"subject":[],"published":{"date-parts":[[2004,1]]}}}