{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:57:59Z","timestamp":1760245079839},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[1995,1,1]],"date-time":"1995-01-01T00:00:00Z","timestamp":788918400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1995,1]]},"DOI":"10.1007\/bf02431993","type":"journal-article","created":{"date-parts":[[2006,7,7]],"date-time":"2006-07-07T17:03:13Z","timestamp":1152291793000},"page":"1-22","source":"Crossref","is-referenced-by-count":9,"title":["Two-scale symbol and autocorrelation symbol for B-splines with multiple knots"],"prefix":"10.1007","volume":"3","author":[{"given":"Gerlind","family":"Plonka","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02431993_CR1","first-page":"1","volume-title":"Approximation Theory II","author":"C. Boor de","year":"1976","unstructured":"C. de Boor, Splines as linear combinations of B-splines. A survey, in:Approximation Theory II, eds: G. Lorentz, C.K. Chui and L. Schumaker (Academic Press, New York, 1976) pp. 1\u201347."},{"key":"BF02431993_CR2","volume-title":"An Introduction to Wavelets","author":"C.K. Chui","year":"1992","unstructured":"C.K. Chui,An Introduction to Wavelets (Academic Press, Boston, 1992)."},{"key":"BF02431993_CR3","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1090\/S0002-9947-1992-1076613-3","volume":"330","author":"C.K. Chui","year":"1992","unstructured":"C.K. Chui and J.Z. Wang, On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc. 330 (1992) 903\u2013915.","journal-title":"Trans. Amer. Math. Soc."},{"key":"BF02431993_CR4","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1006\/jath.1994.1071","volume":"78","author":"T.N.T. Goodman","year":"1994","unstructured":"T.N.T. Goodman, Interpolatory Hermite spline wavelets, J. Approx. Theory, 78 (1994) 174\u2013189.","journal-title":"J. Approx. Theory"},{"key":"BF02431993_CR5","unstructured":"T.N.T. Goodman and S.L. Lee, Wavelets of multiplicityr, Applied Analysis Report AA\/921, University of Dundee (1992)."},{"key":"BF02431993_CR6","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1090\/S0002-9947-1993-1117215-0","volume":"338","author":"T.N.T. Goodman","year":"1993","unstructured":"T.N.T. Goodman, S.L. Lee and W.S. Tang, Wavelets in wandering subspaces, Trans. Amer. Math. Soc. 338 (1993) 639\u2013654.","journal-title":"Trans. Amer. Math. Soc."},{"key":"BF02431993_CR7","first-page":"291","volume":"57","author":"S.L. Lee","year":"1976","unstructured":"S.L. Lee, Fourier transforms of B-splines and fundamental splines for cardinal Hermite interpolation, Proc. Amer. Math. Soc. 57 (1976) 291\u2013296.","journal-title":"Proc. Amer. Math. Soc."},{"key":"BF02431993_CR8","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0021-9045(76)90097-6","volume":"16","author":"S.L. Lee","year":"1976","unstructured":"S.L. Lee and A. Sharma, Cardinal lacunary interpolation by g-splines I. The characteristic polynomials, J. Approx. Theory 16 (1976) 85\u201396.","journal-title":"J. Approx. Theory"},{"key":"BF02431993_CR9","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/0024-3795(73)90029-3","volume":"6","author":"P.R. Lipow","year":"1973","unstructured":"P.R. Lipow and I.J. Schoenberg, Cardinal interpolation and spline functions III. Cardinal hermite interpolation, Lin. Alg. Appl. 6 (1973) 273\u2013304.","journal-title":"Lin. Alg. Appl."},{"key":"BF02431993_CR10","first-page":"200","volume-title":"Numerical Methods of Approximation Theory","author":"G. Meinardus","year":"1980","unstructured":"G. Meinardus and G. Merz, Hermite-Interpolation mit periodischen Spline-Funktionen, in:Numerical Methods of Approximation Theory, eds. L. Collatz, G. Meinardus and H. Werner (Birkh\u00e4user, Basel, 1980) pp. 200\u2013210."},{"key":"BF02431993_CR11","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1016\/0021-9045(88)90118-9","volume":"54","author":"G. Merz","year":"1988","unstructured":"G. Merz and W. Sippel, Zur Konstruktion periodischer Hermite-Interpolationssplines bei \u00e4quidistanter Knotenverteilung, J. Approx. Theory 54 (1988) 92\u2013106.","journal-title":"J. Approx. Theory"},{"key":"BF02431993_CR12","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1090\/S0025-5718-1992-1122075-0","volume":"58","author":"G. Plonka","year":"1992","unstructured":"G. Plonka and M. Tasche, Efficient algorithms for periodic Hermite spline interpolation, Math. Comp. 58 (1992) 693\u2013703.","journal-title":"Math. Comp."},{"key":"BF02431993_CR13","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/0021-9045(69)90040-9","volume":"2","author":"I.J. Schoenberg","year":"1969","unstructured":"I.J. Schoenberg, Cardinal interpolation and spline functions, J. Approx. Theory 2 (1969) 288\u2013297.","journal-title":"J. Approx. Theory"},{"key":"BF02431993_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0024-3795(73)90034-7","volume":"7","author":"I.J. Schoenberg","year":"1973","unstructured":"I.J. Schoenberg and A. Sharma, Cardinal interpolation and spline functions V. The B-splines for cardinal Hermite interpolation, Lin. Alg. Appl. 7 (1973) 1\u201342.","journal-title":"Lin. Alg. Appl."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02431993.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02431993\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02431993","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T18:21:26Z","timestamp":1558117286000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02431993"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":14,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["BF02431993"],"URL":"https:\/\/doi.org\/10.1007\/bf02431993","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}