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Analytic Functions in Local Shift-Invariant Spaces and Analytic Limits of Level Dependent Subdivision |
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| Authors: | Charina Maria Protasov Vladimir Yu |
| Institution: | 1.Department of Mathematics, Cornell University, Malott Hall, Ithaca, NY, 14853, USA ;2.Department of Mathematics, ETH Zurich, Ramistrasse 101, 8092, Zurich, Switzerland ;3.Department of Mathematics, Tufts University, Medford, MA, 02131, USA ;4.Department of Mathematics, University of Maryland, College Park, MD, 20742, USA ;5.Department of Mathematics, North Carolina State University, SAS HAll, 2311 Stinson Dr., Raleigh, NC, 27607, USA ;6.Department of Mathematics, University of Illinois Urbana-Champaign, Urbana, IL, 61801, USA ; |
| Abstract: | Journal of Fourier Analysis and Applications - We develop a theory of Sobolev orthogonal polynomials on the Sierpiński gasket ( $$SG$$ ), which is a fractal set that can be viewed as a limit... |
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