Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket

Canadian mathematical bulletin

关键词: Matrix valued orthogonal polynomials;    unit circle;    Schur complements;    recurrence relations;    kernel polynomials;    Christoffel-Darboux;   

DOI  :  10.4153/CMB-2009-013-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We prove there exist exponentially decaying generalized eigenfunctionson a blow-up of the Sierpinski gasket with boundary. These are usedto show a Borel-type theorem, specifically that for a prescribed jetat the boundary point there is a smooth function having that jet.

【 授权许可】

Unknown