No CrossRef data available.
Article contents
SAMPLING AND BIRKHOFF REGULAR PROBLEMS
Published online by Cambridge University Press: 15 December 2009
Abstract
We establish new sampling representations for linear integral transforms associated with arbitrary general Birkhoff regular boundary value problems. The new approach is developed in connection with the analytical properties of Green’s function, and does not require the root functions to be a basis or complete. Unlike most of the known sampling expansions associated with eigenvalue problems, the results obtained are, generally speaking, of Hermite interpolation type.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 87 , Issue 3 , December 2009 , pp. 289 - 310
- Copyright
- Copyright © Australian Mathematical Publishing Association, Inc. 2009