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On Spectral Approximations by Generalized Slepian Functions
Published online by Cambridge University Press: 28 May 2015
Abstract
We introduce a family of orthogonal functions, termed as generalized Slepian functions (GSFs), closely related to the time-frequency concentration problem on a unit disk in D. Slepian [19]. These functions form a complete orthogonal system in with , and can be viewed as a generalization of the Jacobi polynomials with parameter (α, 0). We present various analytic and asymptotic properties of GSFs, and study spectral approximations by such functions.
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- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 2 , May 2011 , pp. 296 - 318
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- Copyright © Global Science Press Limited 2011