Subdivision I: The Univariate Setting B-Splines (Uniform)

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Page 1 and 2: Subdivision I:The UnivariateSetting
Page 3 and 4: ConvolutionReminder definition: tra
Page 5: B-Spline RefinementExamples1 2( 1,
Page 8 and 9: Subdivision OperatorExample cubic s
Page 10: Subdivision SchemesSome properties
Page 15 and 16: Uniform ConvergenceProoflinear spli
Page 17 and 18: Difference DecayAnalysis of differe
Page 19 and 20: AnalysisFundamental solution gives
Page 21 and 22: More General SettingsNon-uniform in
Page 23 and 24: Irregular AnalysisNew tools generat
Page 25 and 26: Subdivision MatrixInvariant neighbo
Page 27 and 28: Scaling RelationEigen functions sca
Page 29 and 30: Sufficient ConditionsCheck at origi
Page 31 and 32: More General SettingsSubtleties gen

Subdivision I: The Univariate Setting B-Splines (Uniform)

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