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Introduction: Signals and Transforms Read chapter Read first chapter

2014 | OriginalPaper | Chapter

4. Periodic Polynomial Splines

Authors : Amir Z. Averbuch, Pekka Neittaanmaki, Valery A. Zheludev

Published in: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

Publisher: Springer Netherlands

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Abstract

In this chapter the spaces of periodic polynomial splines, which are introduced in Sect. 3.​2.​2, are discussed in more details. It is shown that the periodic exponential splines generate a specific form of harmonic analysis in these spaces. A family of generators of the spaces of periodic splines is presented.

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previous chapter Mixed Circular Convolutions and Zak Transforms
next chapter Polynomial Smoothing Splines
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Metadata
Title
Periodic Polynomial Splines
Authors
Amir Z. Averbuch
Pekka Neittaanmaki
Valery A. Zheludev
Copyright Year
2014
Publisher
Springer Netherlands
Book
Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

Print ISBN: 978-94-017-8925-7

Electronic ISBN: 978-94-017-8926-4

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-94-017-8926-4_4