Interpolation and Sampling with Exponential Splines of Real Order

The existence of fundamental cardinal exponential B-splines of positive real order \(\sigma\) is established subject to two conditions on \(\sigma\) and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Author: Massopust, Peter R
Format: Article
Language:English
Subjects:
Interpolation
Sampling
Online Access:Get full text
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Description
Summary:The existence of fundamental cardinal exponential B-splines of positive real order \(\sigma\) is established subject to two conditions on \(\sigma\) and their construction is implemented. A sampling result for these fundamental cardinal exponential B-splines is also presented.
ISSN:2331-8422