{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T17:10:28Z","timestamp":1710263428503},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,4,16]],"date-time":"2009-04-16T00:00:00Z","timestamp":1239840000000},"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":[[2010,7]]},"DOI":"10.1007\/s10444-009-9124-9","type":"journal-article","created":{"date-parts":[[2009,4,15]],"date-time":"2009-04-15T14:12:49Z","timestamp":1239804769000},"page":"113-127","source":"Crossref","is-referenced-by-count":0,"title":["The spectral radius of matrix continuous refinement operators"],"prefix":"10.1007","volume":"33","author":[{"given":"Victor","family":"Didenko","sequence":"first","affiliation":[]},{"given":"Wee Ping","family":"Yeo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,4,16]]},"reference":[{"key":"9124_CR1","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/BF02521107","volume":"2","author":"CK Chui","year":"1994","unstructured":"Chui, C.K., Shi, X.: Continuous two-scale equations and diadic wavelets. Adv. Comput. Math. 2, 185\u2013213 (1994)","journal-title":"Adv. Comput. Math."},{"key":"9124_CR2","volume-title":"Functional Differential Equations: C*-Theory, vol. 70 of Pitman Monographs and Surveys in Pure and Applied Mathematics","author":"A Antonevich","year":"1994","unstructured":"Antonevich, A., Lebedev, A.: Functional Differential Equations: C*-Theory, vol. 70 of Pitman Monographs and Surveys in Pure and Applied Mathematics. Longman, Harlow (1994)"},{"key":"9124_CR3","volume-title":"Nonnegative Matrices in the Mathematical Sciences","author":"A Berman","year":"1997","unstructured":"Berman, A., Plemmons, R.J.: Nonnegative Matrices in the Mathematical Sciences. SIAM, Philadelphia (1997)"},{"key":"9124_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02070819","volume":"1","author":"W Dahmen","year":"1993","unstructured":"Dahmen, W., Micchelli, C.A.: Continuous refinement equations and subdivision. Adv. Comput. Math. 1, 1\u201337 (1993)","journal-title":"Adv. Comput. Math."},{"key":"9124_CR5","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1006\/jath.1995.1019","volume":"80","author":"G Derfel","year":"1995","unstructured":"Derfel, G., Dyn, N., Levin, D.: Generalized functional equations and subdivision processes. J. Approx. Theory 80, 272\u2013297 (1995)","journal-title":"J. Approx. Theory"},{"key":"9124_CR6","first-page":"3","volume":"58","author":"VD Didenko","year":"2007","unstructured":"Didenko V.D.: Estimates of the spectral radii of refinement and subdivision operators with isotropic dilations. J. Oper. Theory 58, 3\u201322 (2007)","journal-title":"J. Oper. Theory"},{"key":"9124_CR7","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/s11785-008-0056-z","volume":"2","author":"VD Didenko","year":"2008","unstructured":"Didenko V.D.: Spectral radius of refinement and subdivision operators with power diagonal dilations. Compl. Anal. Oper. Theory 2, 345\u2013359 (2008). doi: 10.1007\/s11785-008-0056-z","journal-title":"Compl. Anal. Oper. Theory"},{"key":"9124_CR8","doi-asserted-by":"crossref","first-page":"879","DOI":"10.4171\/ZAA\/1114","volume":"21","author":"VD Didenko","year":"2002","unstructured":"Didenko, V.D., Korenovskyy, A.A., Lee, S.L.: On the spectral radius of convolution dilation operators. Z. Anal. ihre Anwend. 21, 879\u2013890 (2002)","journal-title":"Z. Anal. ihre Anwend."},{"key":"9124_CR9","volume-title":"Linear Operators. Part I: General Theory","author":"N Dunford","year":"1988","unstructured":"Dunford, N., Schwartz, J.T.: Linear Operators. Part I: General Theory. Wiley, New York (1988)"},{"key":"9124_CR10","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1142\/9789812811264_0002","volume-title":"Challenges for the 21 Century","author":"X Gao","year":"2001","unstructured":"Gao, X., Lee, S.L., Sun, Q.: Spectrum of convolution dilation operators on weighted L p spaces. In: Challenges for the 21 Century, pp. 51\u201371. World Sci., Singapore (2001)"},{"key":"9124_CR11","first-page":"95","volume":"19","author":"TNT Goodman","year":"1995","unstructured":"Goodman, T.N.T., Micchelli, C.A., Ward, J.D.: Spectral radius formulas for the dilation convolution integral operator. SEA Bull. Math. 19, 95\u2013106 (1995)","journal-title":"SEA Bull. Math."},{"key":"9124_CR12","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1137\/S0036141099350882","volume":"32","author":"RQ Jia","year":"2000","unstructured":"Jia, R.Q., Jiang, Q., Shen, Z.: Distributional solutions of nonhomogeneous discrete and continuous refinement equations. SIAM J. Math. Anal. 32, 420\u2013434 (2000)","journal-title":"SIAM J. Math. Anal."},{"key":"9124_CR13","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1023\/A:1018911306293","volume":"7","author":"QT Jiang","year":"1997","unstructured":"Jiang, Q.T., Lee, S.L.: Spectral properties of matrix continuous refinement operators. Adv. Comput. Math. 7, 383\u2013399 (1997)","journal-title":"Adv. Comput. Math."},{"key":"9124_CR14","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1090\/S0002-9939-98-04006-4","volume":"126","author":"RQ Jia","year":"1998","unstructured":"Jia, R.Q., Lee, S.L., Sharma, A.: Spectral properties of continuous refinement operators. Proc. Am. Math. Soc. 126, 729\u2013737 (1998)","journal-title":"Proc. Am. Math. Soc."},{"key":"9124_CR15","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/BF02547187","volume":"104","author":"LH H\u00f6rmander","year":"1960","unstructured":"H\u00f6rmander, L.H.: Estimates for translation invariant operators in L p spaces. Acta Math. 104, 93\u2013139 (1960)","journal-title":"Acta Math."},{"key":"9124_CR16","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198526568.001.0001","volume-title":"Introduction to Modern Analysis","author":"S Kantorovitz","year":"2003","unstructured":"Kantorovitz, S.: Introduction to Modern Analysis. Oxford University Press, New York (2003)"},{"key":"9124_CR17","volume-title":"Functional Analysis, vol. 1","author":"M Reed","year":"1972","unstructured":"Reed, M., Simon, B.: Methods of modern mathematical physics. In: Functional Analysis, vol. 1. Academic, New York (1972)"},{"key":"9124_CR18","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1007\/BF01654281","volume":"9","author":"D Ruelle","year":"1968","unstructured":"Ruelle, D.: Statistical mechanics of a one-dimensional lattice gas. Commun. Math. Phys. 9, 267\u2013278 (1968)","journal-title":"Commun. Math. Phys."},{"key":"9124_CR19","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1007\/BF02699133","volume":"72","author":"D Ruelle","year":"1991","unstructured":"Ruelle, D.: An extension of the theory of Fredholm determinants. Inst. Hautes Etud. Sci. Publ. Math. 72, 175\u2013193 (1991)","journal-title":"Inst. Hautes Etud. Sci. Publ. Math."},{"key":"9124_CR20","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1017\/S0143385700006465","volume":"11","author":"D Ruelle","year":"1991","unstructured":"Ruelle, D.: Spectral properties of a class of operators associated with maps in one dimension. Ergod. Theory Dyn. Syst. 11, 757\u2013767 (1991)","journal-title":"Ergod. Theory Dyn. Syst."},{"key":"9124_CR21","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1070\/RM1990v045n01ABEH002324","volume":"45","author":"VA Rvachev","year":"1990","unstructured":"Rvachev, V.A.: Compactly supported solutions of functional-differential equations and their applications. Russ. Math. Surv. 45, 87\u2013120 (1990)","journal-title":"Russ. Math. Surv."},{"key":"9124_CR22","volume-title":"Introduction to Fourier Analysis on Euclidean Spaces","author":"EM Stein","year":"1971","unstructured":"Stein, E.M., Weiss, G.: Introduction to Fourier Analysis on Euclidean Spaces. Princeton University Press, Princeton (1971)"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-009-9124-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-009-9124-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-009-9124-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T16:40:10Z","timestamp":1710261610000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-009-9124-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,16]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,7]]}},"alternative-id":["9124"],"URL":"https:\/\/doi.org\/10.1007\/s10444-009-9124-9","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4,16]]}}}