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Generalized Eigenfunctions and a Borel Theorem on the Sierpinski Gasket

Published online by Cambridge University Press:  20 November 2018

Kasso A. Okoudjou ,
Luke G. Rogers  and
Robert S. Strichartz
Kasso A. Okoudjou
Affiliation:
Mathematics Department, Cornell University, Ithaca, NY 14853, U.S.A. e-mail: [email protected]@[email protected]
Luke G. Rogers
Affiliation:
Mathematics Department, Cornell University, Ithaca, NY 14853, U.S.A. e-mail: [email protected]@[email protected]
Robert S. Strichartz
Affiliation:
Mathematics Department, Cornell University, Ithaca, NY 14853, U.S.A. e-mail: [email protected]@[email protected]
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Abstract

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

Keywords

28A8031C45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 105 - 116
Copyright
Copyright © Canadian Mathematical Society 2009

References

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